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137058207377344 = 2611217698632151
BaseRepresentation
bin11111001010011101011001…
…110000111010011111000000
3122222021122012010102101220121
4133022131121300322133000
5120431030202042033334
61203255400553350024
740604062101416401
oct3712353160723700
9588248163371817
10137058207377344
113a742071a67700
1213456970408314
135b626c2131816
1425bb91cb719a8
1510ca2e9e4cdb4
hex7ca759c3a7c0

137058207377344 has 42 divisors (see below), whose sum is σ = 298947595679432. Its totient is φ = 62299185168000.

The previous prime is 137058207377339. The next prime is 137058207377383. The reversal of 137058207377344 is 443773702850731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8849308332 + ... + 8849323819.

Almost surely, 2137058207377344 is an apocalyptic number.

It is an amenable number.

137058207377344 is an abundant number, since it is smaller than the sum of its proper divisors (161889388302088).

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

137058207377344 is a wasteful number, since it uses less digits than its factorization.

137058207377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698632185 (or 17698632164 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 61.

The spelling of 137058207377344 in words is "one hundred thirty-seven trillion, fifty-eight billion, two hundred seven million, three hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 17698632151 35397264302 70794528604 141589057208 194684953661 283178114416 389369907322 566356228832 778739814644 1132712457664 1557479629288 2141534490271 3114959258576 4283068980542 6229918517152 8566137961084 12459837034304 17132275922168 34264551844336 68529103688672 137058207377344