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20127122455264 = 2511233245404829
BaseRepresentation
bin1001001001110001101011…
…11110111111101011100000
32122021010121202210022222121
410210320311332333223200
510114230321322032024
6110450134501314024
74145064600041656
oct444706576775340
978233552708877
1020127122455264
11645a956a05220
122310930705914
13b2cc96c7a676
144d822d4b8dd6
1524d8452938e4
hex124e35fbfae0

20127122455264 has 48 divisors (see below), whose sum is σ = 43413096046320. Its totient is φ = 9109427215360.

The previous prime is 20127122455261. The next prime is 20127122455267. The reversal of 20127122455264 is 46255422172102.

It is an interprime number because it is at equal distance from previous prime (20127122455261) and next prime (20127122455267).

It is a self number, because there is not a number n which added to its sum of digits gives 20127122455264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127122455261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122620399 + ... + 122784430.

It is an arithmetic number, because the mean of its divisors is an integer number (904439500965).

Almost surely, 220127122455264 is an apocalyptic number.

It is an amenable number.

20127122455264 is an abundant number, since it is smaller than the sum of its proper divisors (23285973591056).

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

20127122455264 is a wasteful number, since it uses less digits than its factorization.

20127122455264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245405083 (or 245405075 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 20127122455264 in words is "twenty trillion, one hundred twenty-seven billion, one hundred twenty-two million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1864 2563 3728 5126 7456 10252 20504 41008 82016 245404829 490809658 981619316 1963238632 2699453119 3926477264 5398906238 7852954528 10797812476 21595624952 43191249904 57179325157 86382499808 114358650314 228717300628 457434601256 628972576727 914869202512 1257945153454 1829738405024 2515890306908 5031780613816 10063561227632 20127122455264