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171607017042 = 2332326007387
BaseRepresentation
bin1001111111010010010…
…0110100011001010010
3121101221120212201002000
42133310210310121102
510302422344021132
6210500221534430
715253403402016
oct2376444643122
9541846781060
10171607017042
116686176192a
1229312a14416
131324ab78a46
14843d276546
1546e598387c
hex27f4934652

171607017042 has 48 divisors (see below), whose sum is σ = 398650267680. Its totient is φ = 54715271688.

The previous prime is 171607017017. The next prime is 171607017047. The reversal of 171607017042 is 240710706171.

171607017042 is a `hidden beast` number, since 1 + 7 + 1 + 607 + 0 + 1 + 7 + 0 + 42 = 666.

171607017042 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 171607016988 and 171607017006.

It is not an unprimeable number, because it can be changed into a prime (171607017047) 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, 2975128 + ... + 3032259.

It is an arithmetic number, because the mean of its divisors is an integer number (8305213910).

Almost surely, 2171607017042 is an apocalyptic number.

171607017042 is an abundant number, since it is smaller than the sum of its proper divisors (227043250638).

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

171607017042 is a wasteful number, since it uses less digits than its factorization.

171607017042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007444 (or 6007415 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 171607017042 in words is "one hundred seventy-one billion, six hundred seven million, seventeen thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 14283 28566 6007387 12014774 18022161 36044322 54066483 108132966 138169901 162199449 276339802 324398898 414509703 829019406 1243529109 2487058218 3177907723 3730587327 6355815446 7461174654 9533723169 19067446338 28601169507 57202339014 85803508521 171607017042