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252115565636256 = 25371722068939569
BaseRepresentation
bin111001010100110000111010…
…101110110110101010100000
31020001200000100020202202200120
4321110300322232312222200
5231021130134300330011
62252112143020320240
7104050514513166150
oct7124607256665240
91201600306682616
10252115565636256
117337167a187213
12243398289a3080
13aa8a51b8282ba
14463865c122760
151e2318770ba06
hexe54c3abb6aa0

252115565636256 has 96 divisors (see below), whose sum is σ = 800837679116160. Its totient is φ = 67795782352896.

The previous prime is 252115565636243. The next prime is 252115565636281. The reversal of 252115565636256 is 652636565511252.

252115565636256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 252115565636256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11034458361 + ... + 11034481208.

It is an arithmetic number, because the mean of its divisors is an integer number (8342059157460).

Almost surely, 2252115565636256 is an apocalyptic number.

It is an amenable number.

252115565636256 is an abundant number, since it is smaller than the sum of its proper divisors (548722113479904).

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

252115565636256 is a wasteful number, since it uses less digits than its factorization.

252115565636256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22068939606 (or 22068939598 counting only the distinct ones).

The product of its digits is 97200000, while the sum is 60.

The spelling of 252115565636256 in words is "two hundred fifty-two trillion, one hundred fifteen billion, five hundred sixty-five million, six hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 22068939569 44137879138 66206818707 88275758276 132413637414 154482576983 176551516552 264827274828 308965153966 353103033104 375171972673 463447730949 529654549656 617930307932 706206066208 750343945346 926895461898 1059309099312 1125515918019 1235860615864 1500687890692 1853790923796 2118618198624 2251031836038 2471721231728 2626203808711 3001375781384 3707581847592 4502063672076 4943442463456 5252407617422 6002751562768 7415163695184 7878611426133 9004127344152 10504815234844 12005503125536 14830327390368 15757222852266 18008254688304 21009630469688 31514445704532 36016509376608 42019260939376 63028891409064 84038521878752 126057782818128 252115565636256