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214150205544516 = 223226130122765381
BaseRepresentation
bin110000101100010010111010…
…111011100001100001000100
31001002020120010000210021021100
4300230102322323201201010
5211032114110104411031
62035243125110420100
763051561505025523
oct6054227273414104
91032216100707240
10214150205544516
116226465716678a
12200278b2661630
13926537c23b147
143ac4cd4c6a4ba
1519b5811b1dde6
hexc2c4baee1844

214150205544516 has 36 divisors (see below), whose sum is σ = 541326226110124. Its totient is φ = 71383125528000.

The previous prime is 214150205544503. The next prime is 214150205544529. The reversal of 214150205544516 is 615445502051412.

214150205544516 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 50 + 2 + 0 + 5 + 544 + 51 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (214150205544503) and next prime (214150205544529).

It can be written as a sum of positive squares in 2 ways, for example, as 173416503312900 + 40733702231616 = 13168770^2 + 6382296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1975855 + ... + 20789526.

Almost surely, 2214150205544516 is an apocalyptic number.

It is an amenable number.

214150205544516 is an abundant number, since it is smaller than the sum of its proper divisors (327176020565608).

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

214150205544516 is a wasteful number, since it uses less digits than its factorization.

214150205544516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23026692 (or 23026687 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

Adding to 214150205544516 its reverse (615445502051412), we get a palindrome (829595707595928).

The spelling of 214150205544516 in words is "two hundred fourteen trillion, one hundred fifty billion, two hundred five million, five hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 261301 522602 783903 1045204 1567806 2351709 3135612 4703418 9406836 22765381 45530762 68296143 91061524 136592286 204888429 273184572 409776858 819553716 5948616820681 11897233641362 17845850462043 23794467282724 35691700924086 53537551386129 71383401848172 107075102772258 214150205544516