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53981798416 = 24713317915139
BaseRepresentation
bin110010010001100100…
…001110000000010000
312011100002021111012021
4302101210032000100
51341023320022131
640444321141224
73620501500330
oct622144160020
9164302244167
1053981798416
1120991355147
12a56648a814
13512398a770
1428814a70c0
15160e221e11
hexc9190e010

53981798416 has 160 divisors (see below), whose sum is σ = 134569164800. Its totient is φ = 20403601920.

The previous prime is 53981798393. The next prime is 53981798449. The reversal of 53981798416 is 61489718935.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558175 + ... + 3573313.

It is an arithmetic number, because the mean of its divisors is an integer number (841057280).

Almost surely, 253981798416 is an apocalyptic number.

53981798416 is a gapful number since it is divisible by the number (56) 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 53981798416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67284582400).

53981798416 is an abundant number, since it is smaller than the sum of its proper divisors (80587366384).

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

53981798416 is a wasteful number, since it uses less digits than its factorization.

53981798416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277 (or 15271 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 61.

The spelling of 53981798416 in words is "fifty-three billion, nine hundred eighty-one million, seven hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 79 91 104 112 124 158 182 208 217 248 316 364 403 434 496 553 632 728 806 868 1027 1106 1264 1456 1612 1736 2054 2212 2449 2821 3224 3472 4108 4424 4898 5642 6448 7189 8216 8848 9796 11284 14378 15139 16432 17143 19592 22568 28756 30278 31837 34286 39184 45136 57512 60556 63674 68572 105973 115024 121112 127348 137144 196807 211946 222859 242224 254696 274288 393614 423892 445718 469309 509392 787228 847784 891436 938618 1195981 1377649 1574456 1695568 1782872 1877236 2391962 2755298 3148912 3285163 3565744 3754472 4783924 5510596 6101017 6570326 7508944 8371867 9567848 11021192 12202034 13140652 15547753 16743734 19135696 22042384 24404068 26281304 31095506 33487468 37075411 42707119 48808136 52562608 62191012 66974936 74150822 85414238 97616272 108834271 124382024 133949872 148301644 170828476 217668542 248764048 259527877 296603288 341656952 435337084 481980343 519055754 593206576 683313904 870674168 963960686 1038111508 1741348336 1927921372 2076223016 3373862401 3855842744 4152446032 6747724802 7711685488 13495449604 26990899208 53981798416