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76940929680 = 24351724597669
BaseRepresentation
bin100011110101000001…
…0010110101010010000
321100121010221012102020
41013222002112222100
52230033334222210
655202435051440
75362445053146
oct1075202265220
9240533835366
1076940929680
112a6a317029a
1212ab3440b80
13734243a834
143a1c797596
152004b5c770
hex11ea096a90

76940929680 has 160 divisors (see below), whose sum is σ = 252682934400. Its totient is φ = 19300294656.

The previous prime is 76940929669. The next prime is 76940929693. The reversal of 76940929680 is 8692904967.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10028886 + ... + 10036554.

It is an arithmetic number, because the mean of its divisors is an integer number (1579268340).

Almost surely, 276940929680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76940929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126341467200).

76940929680 is an abundant number, since it is smaller than the sum of its proper divisors (175742004720).

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

76940929680 is a wasteful number, since it uses less digits than its factorization.

76940929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 76940929680 in words is "seventy-six billion, nine hundred forty million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2459 4080 4918 7377 7669 9836 12295 14754 15338 19672 23007 24590 29508 30676 36885 38345 39344 41803 46014 49180 59016 61352 73770 76690 83606 92028 98360 115035 118032 122704 125409 130373 147540 153380 167212 184056 196720 209015 230070 250818 260746 295080 306760 334424 368112 391119 418030 460140 501636 521492 590160 613520 627045 651865 668848 782238 836060 920280 1003272 1042984 1254090 1303730 1564476 1672120 1840560 1955595 2006544 2085968 2508180 2607460 3128952 3344240 3911190 5016360 5214920 6257904 7822380 10032720 10429840 15644760 18858071 31289520 37716142 56574213 75432284 94290355 113148426 150864568 188580710 226296852 282871065 301729136 320587207 377161420 452593704 565742130 641174414 754322840 905187408 961761621 1131484260 1282348828 1508645680 1602936035 1923523242 2262968520 2564697656 3205872070 3847046484 4525937040 4808808105 5129395312 6411744140 7694092968 9617616210 12823488280 15388185936 19235232420 25646976560 38470464840 76940929680