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450086875128 = 23341163143501
BaseRepresentation
bin1101000110010110100…
…01001010111111111000
31121000202022212020220000
412203023101022333320
524333234220001003
6542433403433000
744342400213012
oct6431321127770
91530668766800
10450086875128
11163976341a80
1273291225760
133359b3a7867
1417ada2691b2
15ba93bee1a3
hex68cb44aff8

450086875128 has 80 divisors (see below), whose sum is σ = 1375265473560. Its totient is φ = 136389960000.

The previous prime is 450086875127. The next prime is 450086875187. The reversal of 450086875128 is 821578680054.

450086875128 is a `hidden beast` number, since 4 + 500 + 8 + 6 + 8 + 7 + 5 + 128 = 666.

It is a super-3 number, since 3×4500868751283 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450086875127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31564623 + ... + 31578878.

Almost surely, 2450086875128 is an apocalyptic number.

It is an amenable number.

450086875128 is an abundant number, since it is smaller than the sum of its proper divisors (925178598432).

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

450086875128 is a wasteful number, since it uses less digits than its factorization.

450086875128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63143530 (or 63143517 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 450086875128 in words is "four hundred fifty billion, eighty-six million, eight hundred seventy-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 63143501 126287002 189430503 252574004 378861006 505148008 568291509 694578511 757722012 1136583018 1389157022 1515444024 1704874527 2083735533 2273166036 2778314044 3409749054 4167471066 4546332072 5114623581 5556628088 6251206599 6819498108 8334942132 10229247162 12502413198 13638996216 16669884264 18753619797 20458494324 25004826396 37507239594 40916988648 50009652792 56260859391 75014479188 112521718782 150028958376 225043437564 450086875128