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52056722765025 = 33521124129091313
BaseRepresentation
bin10111101011000011001100…
…11101111111010011100001
320211022120111111220010122000
423311201212131333103201
523310344132011440100
6302414310040034213
713651655055445026
oct1365414635772341
9224276444803560
1052056722765025
111565014a980880
125a08b37162969
132307c0a773024
14cbd7b75b954d
156041ac7d7900
hex2f586677f4e1

52056722765025 has 96 divisors (see below), whose sum is σ = 104756658061440. Its totient is φ = 25134893568000.

The previous prime is 52056722765023. The next prime is 52056722765027.

52056722765025 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 67 + 2 + 2 + 76 + 502 + 5 = 666.

52056722765025 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52056722765023) and next prime (52056722765027).

It is not a de Polignac number, because 52056722765025 - 21 = 52056722765023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52056722765023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12756232 + ... + 16335081.

It is an arithmetic number, because the mean of its divisors is an integer number (1091215188140).

Almost surely, 252056722765025 is an apocalyptic number.

52056722765025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52056722765025 is an abundant number, since it is smaller than the sum of its proper divisors (52699935296415).

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

52056722765025 is a wasteful number, since it uses less digits than its factorization.

52056722765025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29091584 (or 29091573 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 52056722765025 in words is "fifty-two trillion, fifty-six billion, seven hundred twenty-two million, seven hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 241 275 297 495 675 723 825 1205 1485 2169 2475 2651 3615 6025 6507 7425 7953 10845 13255 18075 23859 32535 39765 54225 66275 71577 119295 162675 198825 357885 596475 1789425 29091313 87273939 145456565 261821817 320004443 436369695 727282825 785465451 960013329 1309109085 1600022215 2181848475 2880039987 3927327255 4800066645 6545545425 7011006433 8000111075 8640119961 14400199935 19636636275 21033019299 24000333225 35055032165 43200599805 63099057897 72000999675 77121070763 105165096495 175275160825 189297173691 216002999025 231363212289 315495289485 385605353815 525825482475 694089636867 946485868455 1156816061445 1577476447425 1928026769075 2082268910601 3470448184335 4732429342275 5784080307225 10411344553005 17352240921675 52056722765025