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1117466055480 = 233519491998201
BaseRepresentation
bin10000010000101110001…
…010101101001100111000
310221211101010112022120110
4100100232022231030320
5121302032302233410
62213205023424320
7143506564515045
oct20205612551470
93854333468513
101117466055480
113a0a07501a95
121606a51550a0
13814b84ca248
143c12b0241cc
151e104038720
hex1042e2ad338

1117466055480 has 128 divisors (see below), whose sum is σ = 3536030764800. Its totient is φ = 281731968000.

The previous prime is 1117466055473. The next prime is 1117466055493. The reversal of 1117466055480 is 845506647111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620380 + ... + 1618580.

It is an arithmetic number, because the mean of its divisors is an integer number (27625240350).

Almost surely, 21117466055480 is an apocalyptic number.

1117466055480 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 1117466055480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768015382400).

1117466055480 is an abundant number, since it is smaller than the sum of its proper divisors (2418564709320).

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

1117466055480 is a wasteful number, since it uses less digits than its factorization.

1117466055480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998725 (or 998721 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1117466055480 in words is "one trillion, one hundred seventeen billion, four hundred sixty-six million, fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 491 570 760 982 1140 1473 1964 2280 2455 2946 3928 4910 5892 7365 9329 9820 11784 14730 18658 19640 27987 29460 37316 46645 55974 58920 74632 93290 111948 139935 186580 223896 279870 373160 559740 998201 1119480 1996402 2994603 3992804 4991005 5989206 7985608 9982010 11978412 14973015 18965819 19964020 23956824 29946030 37931638 39928040 56897457 59892060 75863276 94829095 113794914 119784120 151726552 189658190 227589828 284487285 379316380 455179656 490116691 568974570 758632760 980233382 1137949140 1470350073 1960466764 2275898280 2450583455 2940700146 3920933528 4901166910 5881400292 7351750365 9312217129 9802333820 11762800584 14703500730 18624434258 19604667640 27936651387 29407001460 37248868516 46561085645 55873302774 58814002920 74497737032 93122171290 111746605548 139683256935 186244342580 223493211096 279366513870 372488685160 558733027740 1117466055480