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137226021960 = 23357315665071
BaseRepresentation
bin111111111001101001…
…1101110110001001000
3111010012111222012020210
41333303103232301020
54222014330200320
6143012445521120
712625405640526
oct1776323566110
9433174865223
10137226021960
115321956a405
12227188731a0
13cc2bc76181
1468db05d316
1538824270e0
hex1ff34eec48

137226021960 has 64 divisors (see below), whose sum is σ = 417317518080. Its totient is φ = 36092321280.

The previous prime is 137226021949. The next prime is 137226021967. The reversal of 137226021960 is 69120622731.

It is a super-2 number, since 2×1372260219602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137226021967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7823776 + ... + 7841295.

It is an arithmetic number, because the mean of its divisors is an integer number (6520586220).

Almost surely, 2137226021960 is an apocalyptic number.

137226021960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137226021960 is an abundant number, since it is smaller than the sum of its proper divisors (280091496120).

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

137226021960 is a wasteful number, since it uses less digits than its factorization.

137226021960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15665158 (or 15665154 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 137226021960 in words is "one hundred thirty-seven billion, two hundred twenty-six million, twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 15665071 31330142 46995213 62660284 78325355 93990426 125320568 156650710 187980852 234976065 313301420 375961704 469952130 626602840 939904260 1143550183 1879808520 2287100366 3430650549 4574200732 5717750915 6861301098 9148401464 11435501830 13722602196 17153252745 22871003660 27445204392 34306505490 45742007320 68613010980 137226021960