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54540500157 = 321113210331649
BaseRepresentation
bin110010110010110111…
…011111110010111101
312012210000120110220100
4302302313133302331
51343144332001112
641020000111313
73640364413353
oct626267376275
9165700513810
1054540500157
1121148766020
12a6a1605539
1351b2656900
1428d577d7d3
1516432d32dc
hexcb2ddfcbd

54540500157 has 72 divisors (see below), whose sum is σ = 93968596800. Its totient is φ = 30214978560.

The previous prime is 54540500153. The next prime is 54540500237. The reversal of 54540500157 is 75100504545.

54540500157 is a `hidden beast` number, since 5 + 454 + 0 + 50 + 0 + 157 = 666.

It is not a de Polignac number, because 54540500157 - 22 = 54540500153 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54540500153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1707469 + ... + 1739117.

It is an arithmetic number, because the mean of its divisors is an integer number (1305119400).

Almost surely, 254540500157 is an apocalyptic number.

It is an amenable number.

54540500157 is a deficient number, since it is larger than the sum of its proper divisors (39428096643).

54540500157 is a wasteful number, since it uses less digits than its factorization.

54540500157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31795 (or 31779 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 54540500157 in words is "fifty-four billion, five hundred forty million, five hundred thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 13 33 39 99 103 117 143 169 309 429 507 927 1133 1287 1339 1521 1859 3399 4017 5577 10197 12051 14729 16731 17407 31649 44187 52221 94947 132561 156663 191477 284841 348139 411437 574431 1044417 1234311 1723293 3133251 3259847 3702933 4525807 5348681 9779541 13577421 16046043 29338623 35858317 40732263 42378011 48138129 58835491 107574951 127134033 176506473 322724853 381402099 466158121 529519419 550914143 1398474363 1652742429 4195423089 4958227287 6060055573 18180166719 54540500157