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110094425152 = 2617229205253
BaseRepresentation
bin110011010001000100…
…0111001110001000000
3101112011200002021022221
41212202020321301000
53300433133101102
6122324321340424
710645146113305
oct1464210716100
9345150067287
10110094425152
1142766484128
1219406497714
13a4c6c3b08a
1454859630ac
152ce554a637
hex19a2239c40

110094425152 has 84 divisors (see below), whose sum is σ = 240079446180. Its totient is φ = 50022375424.

The previous prime is 110094425107. The next prime is 110094425159. The reversal of 110094425152 is 251524490011.

110094425152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2048105536 + 108046319616 = 45256^2 + 328704^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (110094425159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433758 + ... + 639010.

It is an arithmetic number, because the mean of its divisors is an integer number (2858088645).

Almost surely, 2110094425152 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 110094425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120039723090).

110094425152 is an abundant number, since it is smaller than the sum of its proper divisors (129985021028).

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

110094425152 is a wasteful number, since it uses less digits than its factorization.

110094425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205328 (or 205301 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 110094425152 in words is "one hundred ten billion, ninety-four million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 289 464 493 544 578 928 986 1088 1156 1856 1972 2312 3944 4624 7888 8381 9248 15776 16762 18496 31552 33524 67048 134096 205253 268192 410506 536384 821012 1642024 3284048 3489301 5952337 6568096 6978602 11904674 13136192 13957204 23809348 27914408 47618696 55828816 59318117 95237392 101189729 111657632 118636234 190474784 202379458 223315264 237272468 380949568 404758916 474544936 809517832 949089872 1619035664 1720225393 1898179744 3238071328 3440450786 3796359488 6476142656 6880901572 13761803144 27523606288 55047212576 110094425152