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137112432590 = 2572539075821
BaseRepresentation
bin111111110110010001…
…0011010111111001110
3111002220121020020221002
41333230202122333032
54221301240320330
6142553311140302
712622526306300
oct1775442327716
9432817206832
10137112432590
1153170436aa1
12226a6814692
13cc11585123
1468c9d31970
15387748ae45
hex1fec89afce

137112432590 has 96 divisors (see below), whose sum is σ = 292886375904. Its totient is φ = 46064229120.

The previous prime is 137112432581. The next prime is 137112432623. The reversal of 137112432590 is 95234211731.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23551880 + ... + 23557700.

It is an arithmetic number, because the mean of its divisors is an integer number (3050899749).

Almost surely, 2137112432590 is an apocalyptic number.

137112432590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137112432590 is an abundant number, since it is smaller than the sum of its proper divisors (155773943314).

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

137112432590 is a wasteful number, since it uses less digits than its factorization.

137112432590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 137112432590 in words is "one hundred thirty-seven billion, one hundred twelve million, four hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 907 1814 1855 2597 3710 4535 5194 5821 6349 9070 11642 12698 12985 25970 29105 31745 40747 44443 48071 58210 63490 81494 88886 96142 203735 222215 240355 285229 308513 336497 407470 444430 480710 570458 617026 672994 1426145 1542565 1682485 2159591 2355479 2852290 3085130 3364970 4319182 4710958 5279647 10559294 10797955 11777395 15117137 21595910 23554790 26398235 30234274 36957529 52796470 73915058 75585685 151171370 184787645 258702703 279821291 369575290 517405406 559642582 1293513515 1399106455 1958749037 2587027030 2798212910 3917498074 9793745185 13711243259 19587490370 27422486518 68556216295 137112432590