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157985135055 = 32511378625997
BaseRepresentation
bin1001001100100010100…
…1011101100111001111
3120002210020220101220100
42103020221131213033
510042023143310210
6200324413422143
714262006330246
oct2231051354717
9502706811810
10157985135055
1161001543320
1226750a9a953
1311b899b9547
14790a0a995d
154199b405c0
hex24c8a5d9cf

157985135055 has 48 divisors (see below), whose sum is σ = 306809496864. Its totient is φ = 74528605440.

The previous prime is 157985135047. The next prime is 157985135059. The reversal of 157985135055 is 550531589751.

157985135055 is a `hidden beast` number, since 1 + 5 + 79 + 8 + 513 + 5 + 0 + 55 = 666.

It is not a de Polignac number, because 157985135055 - 23 = 157985135047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157985134992 and 157985135010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157985135059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4294684 + ... + 4331313.

It is an arithmetic number, because the mean of its divisors is an integer number (6391864518).

Almost surely, 2157985135055 is an apocalyptic number.

157985135055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157985135055 is a deficient number, since it is larger than the sum of its proper divisors (148824361809).

157985135055 is a wasteful number, since it uses less digits than its factorization.

157985135055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8626056 (or 8626053 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 54.

The spelling of 157985135055 in words is "one hundred fifty-seven billion, nine hundred eighty-five million, one hundred thirty-five thousand, fifty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 6105 18315 8625997 25877991 43129985 77633973 94885967 129389955 284657901 319161889 388169865 474429835 853973703 957485667 1423289505 1595809445 2872457001 3510780779 4269868515 4787428335 10532342337 14362285005 17553903895 31597027011 52661711685 157985135055