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10041598618016 = 257173701971233
BaseRepresentation
bin1001001000011111110111…
…1010110010100110100000
31022112222010021100222222112
42102013331322302212200
52304010143221234031
633205014031454452
72054324113641110
oct222077572624640
938488107328875
1010041598618016
1132216886aa479
121162167087428
1357abc347b7b4
1426a031b51040
15126311e5462b
hex921fdeb29a0

10041598618016 has 96 divisors (see below), whose sum is σ = 23923614072960. Its totient is φ = 4050226446336.

The previous prime is 10041598617889. The next prime is 10041598618027. The reversal of 10041598618016 is 61081689514001.

It is a happy number.

10041598618016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 140932736 + ... + 141003968.

It is an arithmetic number, because the mean of its divisors is an integer number (249204313260).

Almost surely, 210041598618016 is an apocalyptic number.

10041598618016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10041598618016 is an abundant number, since it is smaller than the sum of its proper divisors (13882015454944).

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

10041598618016 is a wasteful number, since it uses less digits than its factorization.

10041598618016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108286 (or 108278 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 50.

The spelling of 10041598618016 in words is "ten trillion, forty-one billion, five hundred ninety-eight million, six hundred eighteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 37019 71233 74038 142466 148076 259133 284932 296152 498631 518266 569864 592304 629323 997262 1036532 1139728 1184608 1210961 1258646 1994524 2073064 2279456 2421922 2517292 3989048 4146128 4405261 4843844 5034584 7978096 8292256 8476727 8810522 9687688 10069168 15956192 16953454 17621044 19375376 20138336 33906908 35242088 38750752 67813816 70484176 135627632 140968352 271255264 2636974427 5273948854 10547897708 18458820989 21095795416 36917641978 42191590832 44828565259 73835283956 84383181664 89657130518 147670567912 179314261036 295341135824 313799956813 358628522072 590682271648 627599913626 717257044144 1255199827252 1434514088288 2510399654504 5020799309008 10041598618016