Search a number
-
+
137947782810 = 235131233150649
BaseRepresentation
bin1000000001111001010…
…1000001111010011010
3111012001211002110000010
42000132111001322122
54230004113022220
6143212231422350
712652321543545
oct2003625017232
9435054073003
10137947782810
1153559a21a82
122289a5249b6
13100156642b6
146968c5d85c
1538c59971e0
hex201e541e9a

137947782810 has 64 divisors (see below), whose sum is σ = 335035958400. Its totient is φ = 36348349440.

The previous prime is 137947782809. The next prime is 137947782859. The reversal of 137947782810 is 18287749731.

It is a super-2 number, since 2×1379477828102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840366 + ... + 991014.

It is an arithmetic number, because the mean of its divisors is an integer number (5234936850).

Almost surely, 2137947782810 is an apocalyptic number.

137947782810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137947782810 is an abundant number, since it is smaller than the sum of its proper divisors (197088175590).

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

137947782810 is a wasteful number, since it uses less digits than its factorization.

137947782810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151023.

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 137947782810 in words is "one hundred thirty-seven billion, nine hundred forty-seven million, seven hundred eighty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 233 262 393 466 655 699 786 1165 1310 1398 1965 2330 3495 3930 6990 30523 61046 91569 150649 152615 183138 301298 305230 451947 457845 753245 903894 915690 1506490 2259735 4519470 19735019 35101217 39470038 59205057 70202434 98675095 105303651 118410114 175506085 197350190 210607302 296025285 351012170 526518255 592050570 1053036510 4598259427 9196518854 13794778281 22991297135 27589556562 45982594270 68973891405 137947782810