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53984976192 = 2632721912733
BaseRepresentation
bin110010010001110000…
…010101110101000000
312011100022020221021200
4302101300111311000
51341030123214232
640444513221200
73620540504100
oct622160256500
9164308227250
1053984976192
1120993125704
12a567561800
135124530cc4
142881a93200
15160e64d77c
hexc91c15d40

53984976192 has 126 divisors (see below), whose sum is σ = 180001658538. Its totient is φ = 15424270848.

The previous prime is 53984976181. The next prime is 53984976239. The reversal of 53984976192 is 29167948935.

53984976192 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 4 + 9 + 7 + 619 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53905694976 + 79281216 = 232176^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 928143 + ... + 984590.

Almost surely, 253984976192 is an apocalyptic number.

It is an amenable number.

53984976192 is an abundant number, since it is smaller than the sum of its proper divisors (126016682346).

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

53984976192 is a wasteful number, since it uses less digits than its factorization.

53984976192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912765 (or 1912745 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 53984976192 in words is "fifty-three billion, nine hundred eighty-four million, nine hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 1912733 3825466 5738199 7650932 11476398 13389131 15301864 17214597 22952796 26778262 30603728 34429194 40167393 45905592 53556524 61207456 68858388 80334786 91811184 93723917 107113048 120502179 122414912 137716776 160669572 183622368 187447834 214226096 241004358 275433552 281171751 321339144 367244736 374895668 428452192 482008716 550867104 562343502 642678288 749791336 843515253 856904384 964017432 1101734208 1124687004 1285356576 1499582672 1687030506 1928034864 2249374008 2570713152 2999165344 3374061012 3856069728 4498748016 5998330688 6748122024 7712139456 8997496032 13496244048 17994992064 26992488096 53984976192