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76918001472 = 26321310272169
BaseRepresentation
bin100011110100010101…
…0111000111101000000
321100112112210022211100
41013220222320331000
52230012002021342
655200255414400
75362046140104
oct1075052707500
9240475708740
1076918001472
112a69122aa64
1212aa7824400
13733a770650
143a19709904
152002b2de4c
hex11e8ab8f40

76918001472 has 84 divisors (see below), whose sum is σ = 237430937380. Its totient is φ = 23667075072.

The previous prime is 76918001449. The next prime is 76918001533. The reversal of 76918001472 is 27410081967.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52984673856 + 23933327616 = 230184^2 + 154704^2 .

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 11 ways as a sum of consecutive naturals, for example, 5128597 + ... + 5143572.

Almost surely, 276918001472 is an apocalyptic number.

76918001472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76918001472 is an abundant number, since it is smaller than the sum of its proper divisors (160512935908).

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

76918001472 is a wasteful number, since it uses less digits than its factorization.

76918001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272200 (or 10272187 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 76918001472 in words is "seventy-six billion, nine hundred eighteen million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 10272169 20544338 30816507 41088676 61633014 82177352 92449521 123266028 133538197 164354704 184899042 246532056 267076394 328709408 369798084 400614591 493064112 534152788 657418816 739596168 801229182 986128224 1068305576 1201843773 1479192336 1602458364 1972256448 2136611152 2403687546 2958384672 3204916728 4273222304 4807375092 5916769344 6409833456 8546444608 9614750184 12819666912 19229500368 25639333824 38459000736 76918001472