Search a number
-
+
537642406140 = 2235710112674267
BaseRepresentation
bin1111101001011011111…
…11000001000011111100
31220101202020001001221220
413310231333001003330
532302042423444030
61050553422353340
753562165022560
oct7645577010374
91811666031856
10537642406140
11198016138364
128824742b850
133b912941488
141c04464d6a0
15deba66da10
hex7d2dfc10fc

537642406140 has 96 divisors (see below), whose sum is σ = 1737490051584. Its totient is φ = 121672953600.

The previous prime is 537642406139. The next prime is 537642406177. The reversal of 537642406140 is 41604246735.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 537642406092 and 537642406101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294714 + ... + 6379553.

It is an arithmetic number, because the mean of its divisors is an integer number (18098854704).

Almost surely, 2537642406140 is an apocalyptic number.

It is an amenable number.

537642406140 is an abundant number, since it is smaller than the sum of its proper divisors (1199847645444).

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

537642406140 is a wasteful number, since it uses less digits than its factorization.

537642406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674387 (or 12674385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 537642406140 in words is "five hundred thirty-seven billion, six hundred forty-two million, four hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 6060 7070 8484 10605 14140 21210 42420 12674267 25348534 38022801 50697068 63371335 76045602 88719869 126742670 152091204 177439738 190114005 253485340 266159607 354879476 380228010 443599345 532319214 760456020 887198690 1064638428 1280100967 1330798035 1774397380 2560201934 2661596070 3840302901 5120403868 5323192140 6400504835 7680605802 8960706769 12801009670 15361211604 17921413538 19201514505 25602019340 26882120307 35842827076 38403029010 44803533845 53764240614 76806058020 89607067690 107528481228 134410601535 179214135380 268821203070 537642406140