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82425274171272 = 233223270171842311
BaseRepresentation
bin10010101111011100100001…
…001011111111111110001000
3101210211210001002002011200100
4102233130201023333332020
541300423430141440042
6451145352003005400
723235013063334064
oct2257344113777610
9353753032064610
1082425274171272
11242993a94a127a
1292b26a1669860
1336cb892cc4746
14164d59415caa4
1597e10d0dd24c
hex4af7212fff88

82425274171272 has 96 divisors (see below), whose sum is σ = 232949740682880. Its totient is φ = 26279535194880.

The previous prime is 82425274171271. The next prime is 82425274171301. The reversal of 82425274171272 is 27217147252428.

82425274171272 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 527 + 41 + 7 + 1 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82425274171271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43818997 + ... + 45661307.

It is an arithmetic number, because the mean of its divisors is an integer number (2426559798780).

Almost surely, 282425274171272 is an apocalyptic number.

It is an amenable number.

82425274171272 is an abundant number, since it is smaller than the sum of its proper divisors (150524466511608).

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

82425274171272 is a wasteful number, since it uses less digits than its factorization.

82425274171272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869363 (or 1869356 counting only the distinct ones).

The product of its digits is 7024640, while the sum is 54.

The spelling of 82425274171272 in words is "eighty-two trillion, four hundred twenty-five billion, two hundred seventy-four million, one hundred seventy-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 27017 54034 81051 108068 162102 216136 243153 324204 486306 621391 648408 972612 1242782 1842311 1864173 1945224 2485564 3684622 3728346 4971128 5526933 5592519 7369244 7456692 11053866 11185038 14738488 14913384 16580799 22107732 22370076 33161598 42373153 44215464 44740152 66323196 84746306 127119459 132646392 169492612 254238918 338985224 381358377 508477836 762716754 1016955672 1525433508 3050867016 49773716287 99547432574 149321148861 199094865148 298642297722 398189730296 447963446583 597284595444 895926893166 1144795474601 1194569190888 1791853786332 2289590949202 3434386423803 3583707572664 4579181898404 6868772847606 9158363796808 10303159271409 13737545695212 20606318542818 27475091390424 41212637085636 82425274171272