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137962370280 = 23357306753551
BaseRepresentation
bin1000000001111100110…
…0101011010011101000
3111012002211112120020210
42000133030223103220
54230021331322110
6143213512221120
712652556540610
oct2003714532350
9435084476223
10137962370280
1153567185839
12228a339a7a0
13100186a0c37
14696ab79a40
1538c6dc9520
hex201f32b4e8

137962370280 has 128 divisors (see below), whose sum is σ = 473176903680. Its totient is φ = 31523385600.

The previous prime is 137962370279. The next prime is 137962370297. The reversal of 137962370280 is 82073269731.

It is a super-2 number, since 2×1379623702802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549505 + ... + 2603055.

It is an arithmetic number, because the mean of its divisors is an integer number (3696694560).

Almost surely, 2137962370280 is an apocalyptic number.

137962370280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137962370280 is an abundant number, since it is smaller than the sum of its proper divisors (335214533400).

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

137962370280 is a wasteful number, since it uses less digits than its factorization.

137962370280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56639 (or 56635 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 137962370280 in words is "one hundred thirty-seven billion, nine hundred sixty-two million, three hundred seventy thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3067 6134 9201 12268 15335 18402 21469 24536 30670 36804 42938 46005 53551 61340 64407 73608 85876 92010 107102 107345 122680 128814 160653 171752 184020 214204 214690 257628 267755 321306 322035 368040 374857 428408 429380 515256 535510 642612 644070 749714 803265 858760 1071020 1124571 1285224 1288140 1499428 1606530 1874285 2142040 2249142 2576280 2998856 3213060 3748570 4498284 5622855 6426120 7497140 8996568 11245710 14994280 22491420 44982840 164240917 328481834 492722751 656963668 821204585 985445502 1149686419 1313927336 1642409170 1970891004 2299372838 2463613755 3284818340 3449059257 3941782008 4598745676 4927227510 5748432095 6569636680 6898118514 9197491352 9854455020 11496864190 13796237028 17245296285 19708910040 22993728380 27592474056 34490592570 45987456760 68981185140 137962370280