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137049507420 = 22357326308351
BaseRepresentation
bin111111110100011001…
…0011000011001011100
3111002202012211022211020
41333220302120121130
54221134133214140
6142543142324140
712621133410060
oct1775062303134
9432665738736
10137049507420
1153138968421
1222689729650
13cc015228b7
1468c1831aa0
153871bab6d0
hex1fe8c9865c

137049507420 has 48 divisors (see below), whose sum is σ = 438558425088. Its totient is φ = 31325601600.

The previous prime is 137049507383. The next prime is 137049507437. The reversal of 137049507420 is 24705940731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163153756 + ... + 163154595.

It is an arithmetic number, because the mean of its divisors is an integer number (9136633856).

Almost surely, 2137049507420 is an apocalyptic number.

137049507420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137049507420 is an abundant number, since it is smaller than the sum of its proper divisors (301508917668).

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

137049507420 is a wasteful number, since it uses less digits than its factorization.

137049507420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326308370 (or 326308368 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 137049507420 in words is "one hundred thirty-seven billion, forty-nine million, five hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 326308351 652616702 978925053 1305233404 1631541755 1957850106 2284158457 3263083510 3915700212 4568316914 4894625265 6526167020 6852475371 9136633828 9789250530 11420792285 13704950742 19578501060 22841584570 27409901484 34262376855 45683169140 68524753710 137049507420