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82528135074 = 232711107556487
BaseRepresentation
bin100110011011100001…
…1110110011110100010
321220000112020122100100
41030313003312132202
52323004200310244
6101525104203230
75651060400540
oct1146703663642
9256015218310
1082528135074
1131aaaa87410
1213bb2609516
137a22b35428
143dcc830d90
152230405b69
hex13370f67a2

82528135074 has 96 divisors (see below), whose sum is σ = 225017035776. Its totient is φ = 21235505760.

The previous prime is 82528135073. The next prime is 82528135087. The reversal of 82528135074 is 47053182528.

82528135074 is a `hidden beast` number, since 8 + 2 + 528 + 1 + 3 + 50 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (82528135073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129942 + ... + 426545.

It is an arithmetic number, because the mean of its divisors is an integer number (2343927456).

Almost surely, 282528135074 is an apocalyptic number.

82528135074 is an abundant number, since it is smaller than the sum of its proper divisors (142488900702).

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

82528135074 is a wasteful number, since it uses less digits than its factorization.

82528135074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556620 (or 556617 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82528135074 in words is "eighty-two billion, five hundred twenty-eight million, one hundred thirty-five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 107 126 154 198 214 231 321 462 642 693 749 963 1177 1386 1498 1926 2247 2354 3531 4494 6741 7062 8239 10593 13482 16478 21186 24717 49434 74151 148302 556487 1112974 1669461 3338922 3895409 5008383 6121357 7790818 10016766 11686227 12242714 18364071 23372454 35058681 36728142 42849499 55092213 59544109 70117362 85698998 110184426 119088218 128548497 178632327 257096994 357264654 385645491 416808763 535896981 654985199 771290982 833617526 1071793962 1250426289 1309970398 1964955597 2500852578 3751278867 3929911194 4584896393 5894866791 7502557734 9169792786 11789733582 13754689179 27509378358 41264067537 82528135074