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75257668440630 = 232513193333278723
BaseRepresentation
bin10001000111001001001010…
…100110000001001000110110
3100212110120012022100220021200
4101013021022212001020312
534331010201110100010
6424020521240553330
721565121116013544
oct2107111246011066
9325416168326250
1075257668440630
1121a85663964875
128535534a82846
1332cb9c97a2490
1414826c225ad94
158a7958386cc0
hex44724a981236

75257668440630 has 96 divisors (see below), whose sum is σ = 211813293365856. Its totient is φ = 18428980211712.

The previous prime is 75257668440623. The next prime is 75257668440641. The reversal of 75257668440630 is 3604486675257.

It is a happy number.

75257668440630 is a `hidden beast` number, since 7 + 5 + 2 + 5 + 76 + 68 + 440 + 63 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166413552 + ... + 166865171.

It is an arithmetic number, because the mean of its divisors is an integer number (2206388472561).

Almost surely, 275257668440630 is an apocalyptic number.

75257668440630 is an abundant number, since it is smaller than the sum of its proper divisors (136555624925226).

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

75257668440630 is a wasteful number, since it uses less digits than its factorization.

75257668440630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333278942 (or 333278939 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 75257668440630 in words is "seventy-five trillion, two hundred fifty-seven billion, six hundred sixty-eight million, four hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 193 195 234 386 390 579 585 965 1158 1170 1737 1930 2509 2895 3474 5018 5790 7527 8685 12545 15054 17370 22581 25090 37635 45162 75270 112905 225810 333278723 666557446 999836169 1666393615 1999672338 2999508507 3332787230 4332623399 4999180845 5999017014 8665246798 9998361690 12997870197 14997542535 21663116995 25995740394 29995085070 38993610591 43326233990 64322793539 64989350985 77987221182 128645587078 129978701970 192968380617 194968052955 321613967695 385936761234 389936105910 578905141851 643227935390 836196316007 964841903085 1157810283702 1672392632014 1929683806170 2508588948021 2894525709255 4180981580035 5017177896042 5789051418510 7525766844063 8361963160070 12542944740105 15051533688126 25085889480210 37628834220315 75257668440630