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232010434544512 = 27133126891672637
BaseRepresentation
bin110100110000001100100011…
…100010010000001110000000
31010102110222111002121110011011
4310300030203202100032000
5220402224332220411022
62141240042222130304
766604125565462501
oct6460144342201600
91112428432543134
10232010434544512
1167a20088889998
1222031215120994
139c5c64a997890
1441415175baba8
151bc51cce3c977
hexd30323890380

232010434544512 has 128 divisors (see below), whose sum is σ = 514011024172800. Its totient is φ = 103588889886720.

The previous prime is 232010434544509. The next prime is 232010434544521. The reversal of 232010434544512 is 215445434010232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137873058 + ... + 139545694.

It is an arithmetic number, because the mean of its divisors is an integer number (4015711126350).

Almost surely, 2232010434544512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232010434544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257005512086400).

232010434544512 is an abundant number, since it is smaller than the sum of its proper divisors (282000589628288).

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

232010434544512 is a wasteful number, since it uses less digits than its factorization.

232010434544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675384 (or 1675372 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 232010434544512 its reverse (215445434010232), we get a palindrome (447455868554744).

The spelling of 232010434544512 in words is "two hundred thirty-two trillion, ten billion, four hundred thirty-four million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 992 1612 1664 1984 2689 3224 3968 5378 6448 10756 12896 21512 25792 34957 43024 51584 69914 83359 86048 139828 166718 172096 279656 333436 344192 559312 666872 1083667 1118624 1333744 1672637 2167334 2237248 2667488 3345274 4334668 4474496 5334976 6690548 8669336 10669952 13381096 17338672 21744281 26762192 34677344 43488562 51851747 53524384 69354688 86977124 103703494 107048768 138709376 173954248 207406988 214097536 347908496 414813976 674072711 695816992 829627952 1348145422 1391633984 1659255904 2696290844 2783267968 3318511808 4497720893 5392581688 6637023616 8995441786 10785163376 17990883572 21570326752 35981767144 43140653504 58470371609 71963534288 86281307008 116940743218 139429347683 143927068576 233881486436 278858695366 287854137152 467762972872 557717390732 575708274304 935525945744 1115434781464 1812581519879 1871051891488 2230869562928 3625163039758 3742103782976 4461739125856 7250326079516 7484207565952 8923478251712 14500652159032 17846956503424 29001304318064 58002608636128 116005217272256 232010434544512