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42172093776834 = 2337229487189457
BaseRepresentation
bin10011001011010111101001…
…01010110100001111000010
312112022121112201120112021000
421211223310222310033002
521011421422001324314
6225405331544112430
711611555540364430
oct1145536452641702
9175277481515230
1042172093776834
111248a0a25705aa
124891298a65716
131a6ba717a52c8
14a5b1d6b0bd50
154d1ed627d209
hex265af4ab43c2

42172093776834 has 64 divisors (see below), whose sum is σ = 107571432326400. Its totient is φ = 11996553164544.

The previous prime is 42172093776817. The next prime is 42172093777031. The reversal of 42172093776834 is 43867739027124.

42172093776834 is a `hidden beast` number, since 4 + 2 + 172 + 0 + 9 + 377 + 68 + 34 = 666.

42172093776834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243508167 + ... + 243681290.

It is an arithmetic number, because the mean of its divisors is an integer number (1680803630100).

Almost surely, 242172093776834 is an apocalyptic number.

42172093776834 is an abundant number, since it is smaller than the sum of its proper divisors (65399338549566).

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

42172093776834 is a wasteful number, since it uses less digits than its factorization.

42172093776834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487189704 (or 487189698 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 42172093776834 in words is "forty-two trillion, one hundred seventy-two billion, ninety-three million, seven hundred seventy-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 687 1374 1603 2061 3206 4122 4809 6183 9618 12366 14427 28854 43281 86562 487189457 974378914 1461568371 2923136742 3410326199 4384705113 6820652398 8769410226 10230978597 13154115339 20461957194 26308230678 30692935791 61385871582 92078807373 111566385653 184157614746 223132771306 334699156959 669398313918 780964699571 1004097470877 1561929399142 2008194941754 2342894098713 3012292412631 4685788197426 6024584825262 7028682296139 14057364592278 21086046888417 42172093776834