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221411760451136 = 2617733277630909
BaseRepresentation
bin110010010101111101110001…
…010101001010111001000000
31002000221202110021110011210022
4302111331301111022321000
5213010102241133414021
62102523054125353012
764431320554230143
oct6225756125127100
91060852407404708
10221411760451136
1164604222644682
12209bb0ba708768
1396710687ba8b8
143c9655a35005a
151a8e6647881ab
hexc95f7154ae40

221411760451136 has 56 divisors (see below), whose sum is σ = 465843567030840. Its totient is φ = 104051622223872.

The previous prime is 221411760451117. The next prime is 221411760451177. The reversal of 221411760451136 is 631154067114122.

It can be written as a sum of positive squares in 4 ways, for example, as 159776071745536 + 61635688705600 = 12640256^2 + 7850840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138017951 + ... + 139612958.

Almost surely, 2221411760451136 is an apocalyptic number.

It is an amenable number.

221411760451136 is an abundant number, since it is smaller than the sum of its proper divisors (244431806579704).

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

221411760451136 is a wasteful number, since it uses less digits than its factorization.

221411760451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277631671 (or 277631661 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 221411760451136 in words is "two hundred twenty-one trillion, four hundred eleven billion, seven hundred sixty million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 733 1088 1466 2932 5864 11728 12461 23456 24922 46912 49844 99688 199376 398752 797504 277630909 555261818 1110523636 2221047272 4442094544 4719725453 8884189088 9439450906 17768378176 18878901812 37757803624 75515607248 151031214496 203503456297 302062428992 407006912594 814013825188 1628027650376 3256055300752 3459558757049 6512110601504 6919117514098 13024221203008 13838235028196 27676470056392 55352940112784 110705880225568 221411760451136