Search a number
-
+
215645360656 = 241119972932269
BaseRepresentation
bin1100100011010101110…
…1110001001000010000
3202121121200210100120111
43020311131301020100
512013120203020111
6243022140251104
721402615215245
oct3106535611020
9677550710514
10215645360656
1183500203230
1235963240a94
131744878662b
14a619cd95cc
155921c66a21
hex3235771210

215645360656 has 160 divisors (see below), whose sum is σ = 486600105600. Its totient is φ = 91550269440.

The previous prime is 215645360627. The next prime is 215645360657. The reversal of 215645360656 is 656063546512.

It is not an unprimeable number, because it can be changed into a prime (215645360657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95038690 + ... + 95040958.

It is an arithmetic number, because the mean of its divisors is an integer number (3041250660).

Almost surely, 2215645360656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215645360656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243300052800).

215645360656 is an abundant number, since it is smaller than the sum of its proper divisors (270954744944).

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

215645360656 is a wasteful number, since it uses less digits than its factorization.

215645360656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

The spelling of 215645360656 in words is "two hundred fifteen billion, six hundred forty-five million, three hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 152 176 194 209 293 304 388 418 586 776 836 1067 1172 1552 1672 1843 2134 2269 2344 3223 3344 3686 4268 4538 4688 5567 6446 7372 8536 9076 11134 12892 14744 17072 18152 20273 22268 24959 25784 28421 29488 36304 40546 43111 44536 49918 51568 56842 61237 81092 86222 89072 99836 113684 122474 162184 172444 199672 220093 227368 244948 312631 324368 344888 399344 440186 454736 474221 489896 539999 625262 664817 689776 880372 948442 979792 1079998 1250524 1329634 1760744 1896884 2159996 2421023 2501048 2659268 3521488 3793768 4181767 4319992 4842046 5002096 5318536 5939989 7312987 7587536 8363534 8639984 9684092 10637072 11879978 12631523 14625974 16727068 19368184 23759956 25263046 29251948 33454136 38736368 45999437 47519912 50526092 58503896 64487249 66908272 91998874 95039824 101052184 117007792 128974498 138946753 183997748 202104368 257948996 277893506 367995496 515897992 555787012 709359739 735990992 1031795984 1111574024 1225257731 1418719478 2223148048 2450515462 2837438956 4901030924 5674877912 9802061848 11349755824 13477835041 19604123696 26955670082 53911340164 107822680328 215645360656