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157885164117 = 3447179443523
BaseRepresentation
bin1001001100001010110…
…0000110101001010101
3120002112021210100120000
42103002230012221111
510041322100222432
6200310443001513
714256353515632
oct2230254065125
9502467710500
10157885164117
1160a6007170a
1226723509299
1311b72086045
1478daac5189
154190e9457c
hex24c2b06a55

157885164117 has 80 divisors (see below), whose sum is σ = 243227888640. Its totient is φ = 102015078048.

The previous prime is 157885164109. The next prime is 157885164127. The reversal of 157885164117 is 711461588751.

157885164117 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 8 + 516 + 4 + 117 = 666.

It is not a de Polignac number, because 157885164117 - 23 = 157885164109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157885164127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301883418 + ... + 301883940.

It is an arithmetic number, because the mean of its divisors is an integer number (3040348608).

Almost surely, 2157885164117 is an apocalyptic number.

It is an amenable number.

157885164117 is a deficient number, since it is larger than the sum of its proper divisors (85342724523).

157885164117 is a wasteful number, since it uses less digits than its factorization.

157885164117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1195 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 54.

The spelling of 157885164117 in words is "one hundred fifty-seven billion, eight hundred eighty-five million, one hundred sixty-four thousand, one hundred seventeen".

Divisors: 1 3 9 27 47 81 141 179 423 443 523 537 1269 1329 1569 1611 3807 3987 4707 4833 8413 11961 14121 14499 20821 24581 25239 35883 42363 62463 73743 75717 79297 93617 187389 221229 227151 231689 237891 280851 562167 663687 681453 695067 713673 842553 1686501 1991061 2085201 2141019 2527659 3726959 4399999 6255603 6423057 7582977 10889383 11180877 13199997 18766809 32668149 33542631 39599991 41472331 98004447 100627893 118799973 124416993 294013341 301883679 356399919 373250979 882040023 1119752937 1949199557 3359258811 5847598671 17542796013 52628388039 157885164117