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101857385484 = 223237963111831
BaseRepresentation
bin101111011011100101…
…1000101110000001100
3100201220121122022010200
41132313023011300030
53132100442313414
6114443113133500
710234056330351
oct1366713056014
9321817568120
10101857385484
113a219925328
12178a79ba290
1397b35726ca
144d039d4628
1529b232b109
hex17b72c5c0c

101857385484 has 72 divisors (see below), whose sum is σ = 258583153920. Its totient is φ = 33806354400.

The previous prime is 101857385449. The next prime is 101857385489. The reversal of 101857385484 is 484583758101.

101857385484 is a `hidden beast` number, since 1 + 0 + 1 + 85 + 7 + 3 + 85 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101857385484.

It is not an unprimeable number, because it can be changed into a prime (101857385489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8603449 + ... + 8615279.

Almost surely, 2101857385484 is an apocalyptic number.

It is an amenable number.

101857385484 is an abundant number, since it is smaller than the sum of its proper divisors (156725768436).

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

101857385484 is a wasteful number, since it uses less digits than its factorization.

101857385484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 101857385484 in words is "one hundred one billion, eight hundred fifty-seven million, three hundred eighty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 379 631 758 1137 1262 1516 1893 2274 2524 3411 3786 4548 5679 6822 7572 11358 11831 13644 22716 23662 35493 47324 70986 106479 141972 212958 239149 425916 478298 717447 956596 1434894 2152341 2869788 4304682 4483949 7465361 8609364 8967898 13451847 14930722 17935796 22396083 26903694 29861444 40355541 44792166 53807388 67188249 80711082 89584332 134376498 161422164 268752996 2829371819 5658743638 8488115457 11317487276 16976230914 25464346371 33952461828 50928692742 101857385484