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76405041200670 = 235713191473010241
BaseRepresentation
bin10001010111110101101111…
…010101101111111000011110
3101000112020202200122012221120
4101113311233111233320132
540003310011021410140
6430255554045111410
722044040101401250
oct2127655725577036
9330466680565846
1076405041200670
1122388217978616
12869b985858566
133382c6cc2a8c0
1414c2049161cd0
158c770cc1b1d0
hex457d6f56fe1e

76405041200670 has 128 divisors (see below), whose sum is σ = 237567091829760. Its totient is φ = 15272170168320.

The previous prime is 76405041200611. The next prime is 76405041200699. The reversal of 76405041200670 is 7600214050467.

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

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 63 ways as a sum of consecutive naturals, for example, 736453251 + ... + 736556990.

It is an arithmetic number, because the mean of its divisors is an integer number (1855992904920).

Almost surely, 276405041200670 is an apocalyptic number.

76405041200670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76405041200670 is an abundant number, since it is smaller than the sum of its proper divisors (161162050629090).

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

76405041200670 is a wasteful number, since it uses less digits than its factorization.

76405041200670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473010290.

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 76405041200670 in words is "seventy-six trillion, four hundred five billion, forty-one million, two hundred thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 3458 3705 3990 5187 7410 8645 10374 17290 25935 51870 1473010241 2946020482 4419030723 7365051205 8838061446 10311071687 14730102410 19149133133 20622143374 22095153615 27987194579 30933215061 38298266266 44190307230 51555358435 55974389158 57447399399 61866430122 83961583737 95745665665 103110716870 114894798798 134043931931 139935972895 154666075305 167923167474 191491331330 195910362053 268087863862 279871945790 287236996995 309332150610 363833529527 391820724106 402131795793 419807918685 574473993990 587731086159 670219659655 727667059054 804263591586 839615837370 979551810265 1091500588581 1175462172318 1340439319310 1819167647635 1959103620530 2010658978965 2183001177162 2546834706689 2938655430795 3638335295270 4021317957930 5093669413378 5457502942905 5877310861590 7640504120067 10915005885810 12734173533445 15281008240134 25468347066890 38202520600335 76405041200670