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40518794862 = 2337138992647
BaseRepresentation
bin100101101111000110…
…111011111001101110
310212120211021001021000
4211233012323321232
51130440302413422
630340350221130
72633044034160
oct455706737156
9125524231230
1040518794862
1116202892327
127a297b47a6
133a896b8380
141d65456930
1510c2313cac
hex96f1bbe6e

40518794862 has 128 divisors (see below), whose sum is σ = 112067020800. Its totient is φ = 10566091008.

The previous prime is 40518794843. The next prime is 40518794881. The reversal of 40518794862 is 26849781504.

It is a happy number.

40518794862 is a `hidden beast` number, since 40 + 51 + 8 + 79 + 486 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40518794843) and next prime (40518794881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40518794799 and 40518794808.

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 63 ways as a sum of consecutive naturals, for example, 391023 + ... + 483669.

It is an arithmetic number, because the mean of its divisors is an integer number (875523600).

Almost surely, 240518794862 is an apocalyptic number.

40518794862 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40518794862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56033510400).

40518794862 is an abundant number, since it is smaller than the sum of its proper divisors (71548225938).

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

40518794862 is a wasteful number, since it uses less digits than its factorization.

40518794862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92767 (or 92761 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 40518794862 in words is "forty billion, five hundred eighteen million, seven hundred ninety-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 89 91 117 126 178 182 189 234 267 273 351 378 534 546 623 702 801 819 1157 1246 1602 1638 1869 2314 2403 2457 3471 3738 4806 4914 5607 6942 8099 10413 11214 16198 16821 20826 24297 31239 33642 48594 62478 72891 92647 145782 185294 218673 277941 437346 555882 648529 833823 1204411 1297058 1667646 1945587 2408822 2501469 3613233 3891174 5002938 5836761 7226466 8245583 8430877 10839699 11673522 16491166 16861754 17510283 21679398 24736749 25292631 32519097 35020566 49473498 50585262 57719081 65038194 74210247 75877893 107192579 115438162 148420494 151755786 173157243 214385158 222630741 227633679 321577737 346314486 445261482 455267358 519471729 643155474 750348053 964733211 1038943458 1500696106 1558415187 1929466422 2251044159 2894199633 3116830374 4502088318 5788399266 6753132477 13506264954 20259397431 40518794862