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155055165603104 = 251331110310900733
BaseRepresentation
bin100011010000010110011000…
…000100001111110100100000
3202100000010111002101220210002
4203100112120010033310200
5130310410434343244404
61305435205410555132
744442236356332614
oct4320263004176440
9670003432356702
10155055165603104
1145450587780948
1215482891298aa8
136869840931680
142a409d2581344
1512dd519c5ec1e
hex8d059810fd20

155055165603104 has 96 divisors (see below), whose sum is σ = 339659197323264. Its totient is φ = 69192614384640.

The previous prime is 155055165603097. The next prime is 155055165603131. The reversal of 155055165603104 is 401306561550551.

It is a super-3 number, since 3×1550551656031043 (a number of 44 digits) contains 333 as substring.

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, 8773922 + ... + 19674654.

It is an arithmetic number, because the mean of its divisors is an integer number (3538116638784).

Almost surely, 2155055165603104 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 155055165603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169829598661632).

155055165603104 is an abundant number, since it is smaller than the sum of its proper divisors (184604031720160).

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

155055165603104 is a wasteful number, since it uses less digits than its factorization.

155055165603104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901890 (or 10901882 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 47.

The spelling of 155055165603104 in words is "one hundred fifty-five trillion, fifty-five billion, one hundred sixty-five million, six hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1103 1612 2206 3224 4412 6448 8824 12896 14339 17648 28678 34193 35296 57356 68386 114712 136772 229424 273544 444509 458848 547088 889018 1094176 1778036 3556072 7112144 10900733 14224288 21801466 43602932 87205864 141709529 174411728 283419058 337922723 348823456 566838116 675845446 1133676232 1351690892 2267352464 2703381784 4392995399 4534704928 5406763568 8785990798 10813527136 12023508499 17571981596 24047016998 35143963192 48094033996 70287926384 96188067992 140575852768 156305610487 192376135984 312611220974 372728763469 384752271968 625222441948 745457526938 1250444883896 1490915053876 2500889767792 2981830107752 4845473925097 5001779535584 5963660215504 9690947850194 11927320431008 19381895700388 38763791400776 77527582801552 155055165603104