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80217762975 = 325271923116549
BaseRepresentation
bin100101010110101011…
…0011110110010011111
321200001111212120122100
41022231112132302133
52303241221403400
6100503533020143
75536604510040
oct1125526366237
9250044776570
1080217762975
1131024921689
1213668924653
13774529b24c
143c4da628c7
152147686100
hex12ad59ec9f

80217762975 has 144 divisors (see below), whose sum is σ = 180363456000. Its totient is φ = 33230165760.

The previous prime is 80217762917. The next prime is 80217762991. The reversal of 80217762975 is 57926771208.

It is a happy number.

80217762975 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 7 + 7 + 629 + 7 + 5 = 666.

It is not a de Polignac number, because 80217762975 - 27 = 80217762847 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630001 + ... + 746549.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524000).

Almost surely, 280217762975 is an apocalyptic number.

80217762975 is an abundant number, since it is smaller than the sum of its proper divisors (100145693025).

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

80217762975 is a wasteful number, since it uses less digits than its factorization.

80217762975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116614 (or 116606 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 80217762975 in words is "eighty billion, two hundred seventeen million, seven hundred sixty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 23 25 35 45 57 63 69 75 95 105 115 133 161 171 175 207 225 285 315 345 399 437 475 483 525 575 665 805 855 1035 1197 1311 1425 1449 1575 1725 1995 2185 2415 3059 3325 3933 4025 4275 5175 5985 6555 7245 9177 9975 10925 12075 15295 19665 27531 29925 32775 36225 45885 76475 98325 116549 137655 229425 349647 582745 688275 815843 1048941 1748235 2214431 2447529 2680627 2913725 4079215 5244705 6643293 7342587 8041881 8741175 11072155 12237645 13403135 15501017 18764389 19929879 20396075 24125643 26223525 33216465 36712935 40209405 46503051 50931913 55360775 56293167 61188225 67015675 77505085 93821945 99649395 120628215 139509153 152795739 166082325 168879501 183564675 201047025 232515255 254659565 281465835 356523391 387525425 458387217 469109725 498246975 603141075 697545765 763978695 844397505 1069570173 1162576275 1273297825 1407329175 1782616955 2291936085 3208710519 3487728825 3819893475 4221987525 5347850865 8913084775 11459680425 16043552595 26739254325 80217762975