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214616630446146 = 23331128205872429
BaseRepresentation
bin110000110011000101010100…
…000001010100100001000010
31001010220011000222112021011000
4300303011110001110201002
5211112234324343234041
62040241304031032430
763130353113210055
oct6063052401244102
91033804028467130
10214616630446146
116242444692a8a5
12200a218336b716
13929a3524221b6
143add700cd8a9c
1519c2a0ed34bb6
hexc33154054842

214616630446146 has 32 divisors (see below), whose sum is σ = 492310550131200. Its totient is φ = 69231171111120.

The previous prime is 214616630446133. The next prime is 214616630446213. The reversal of 214616630446146 is 641644036616412.

214616630446146 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 16 + 6 + 3 + 0 + 4 + 4 + 614 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 214616630446092 and 214616630446101.

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, 64102934541 + ... + 64102937888.

It is an arithmetic number, because the mean of its divisors is an integer number (15384704691600).

Almost surely, 2214616630446146 is an apocalyptic number.

214616630446146 is an abundant number, since it is smaller than the sum of its proper divisors (277693919685054).

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

214616630446146 is a wasteful number, since it uses less digits than its factorization.

214616630446146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128205872471 (or 128205872465 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 214616630446146 in words is "two hundred fourteen trillion, six hundred sixteen billion, six hundred thirty million, four hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 128205872429 256411744858 384617617287 769235234574 1153852851861 2307705703722 3461558555583 3974382045299 6923117111166 7948764090598 11923146135897 23846292271794 35769438407691 71538876815382 107308315223073 214616630446146