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968881925124 = 223229256572
BaseRepresentation
bin11100001100101011101…
…11001110110000000100
310102121212001021102201100
432012111313032300010
5111333232233100444
62021033114100100
7126666540323451
oct16062567166004
93377761242640
10968881925124
1134399a651743
1213793871a630
1370499394999
1434c73716828
151a3098d5e69
hexe195dcec04

968881925124 has 81 divisors (see below), whose sum is σ = 2536931160127. Its totient is φ = 311768946048.

The previous prime is 968881925111. The next prime is 968881925161. The reversal of 968881925124 is 421529188869.

The square root of 968881925124 is 984318.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 175770562500 + 793111362624 = 419250^2 + 890568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171268504 + ... + 171274160.

Almost surely, 2968881925124 is an apocalyptic number.

968881925124 is the 984318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968881925124

968881925124 is an abundant number, since it is smaller than the sum of its proper divisors (1568049235003).

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

968881925124 is an equidigital number, since it uses as much as digits as its factorization.

968881925124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 5691 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 968881925124 in words is "nine hundred sixty-eight billion, eight hundred eighty-one million, nine hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 5657 7569 10092 11314 15138 16971 22628 30276 33942 50913 67884 101826 164053 203652 328106 492159 656212 984318 1476477 1968636 2952954 4757537 5905908 9515074 14272611 19030148 28545222 32001649 42817833 57090444 64003298 85635666 96004947 128006596 171271332 192009894 288014841 384019788 576029682 928047821 1152059364 1856095642 2784143463 3712191284 5568286926 8352430389 11136573852 16704860778 26913386809 33409721556 53826773618 80740160427 107653547236 161480320854 242220481281 322960641708 484440962562 968881925124