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11360674000 = 245313795531
BaseRepresentation
bin10101001010010011…
…00010000011010000
31002022202010000221201
422211021202003100
5141231313032000
65115150400544
7551346064354
oct124511420320
932282100851
1011360674000
1148aa893585
122250800154
1310c087a110
1479ab59464
1546758596a
hex2a52620d0

11360674000 has 160 divisors (see below), whose sum is σ = 29963082240. Its totient is φ = 4140864000.

The previous prime is 11360673959. The next prime is 11360674007. The reversal of 11360674000 is 47606311.

It is a self number, because there is not a number n which added to its sum of digits gives 11360674000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360674007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051235 + ... + 2056765.

It is an arithmetic number, because the mean of its divisors is an integer number (187269264).

Almost surely, 211360674000 is an apocalyptic number.

11360674000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11360674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981541120).

11360674000 is an abundant number, since it is smaller than the sum of its proper divisors (18602408240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11360674000 is a wasteful number, since it uses less digits than its factorization.

11360674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 11360674000 in words is "eleven billion, three hundred sixty million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 125 130 158 200 208 250 260 316 325 395 400 500 520 632 650 790 1000 1027 1040 1264 1300 1580 1625 1975 2000 2054 2600 3160 3250 3950 4108 5135 5200 5531 6320 6500 7900 8216 9875 10270 11062 13000 15800 16432 19750 20540 22124 25675 26000 27655 31600 39500 41080 44248 51350 55310 71903 79000 82160 88496 102700 110620 128375 138275 143806 158000 205400 221240 256750 276550 287612 359515 410800 436949 442480 513500 553100 575224 691375 719030 873898 1027000 1106200 1150448 1382750 1438060 1747796 1797575 2054000 2184745 2212400 2765500 2876120 3495592 3595150 4369490 5531000 5680337 5752240 6991184 7190300 8738980 8987875 10923725 11062000 11360674 14380600 17477960 17975750 21847450 22721348 28401685 28761200 34955920 35951500 43694900 45442696 54618625 56803370 71903000 87389800 90885392 109237250 113606740 142008425 143806000 174779600 218474500 227213480 284016850 436949000 454426960 568033700 710042125 873898000 1136067400 1420084250 2272134800 2840168500 5680337000 11360674000