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214670128608 = 253313176911627
BaseRepresentation
bin1100011111101101010…
…1100011010111100000
3202112002201201102201000
43013323111203113200
512004121023103413
6242341301512000
721336503662155
oct3077325432740
9675081642630
10214670128608
118304a766a31
1235730712600
131732170bb50
14a56659822c
1558b6329073
hex31fb5635e0

214670128608 has 384 divisors, whose sum is σ = 715420823040. Its totient is φ = 62038794240.

The previous prime is 214670128559. The next prime is 214670128627. The reversal of 214670128608 is 806821076412.

214670128608 is a `hidden beast` number, since 2 + 1 + 467 + 0 + 128 + 60 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131941491 + ... + 131943117.

It is an arithmetic number, because the mean of its divisors is an integer number (1863075060).

Almost surely, 2214670128608 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 214670128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357710411520).

214670128608 is an abundant number, since it is smaller than the sum of its proper divisors (500750694432).

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

214670128608 is a wasteful number, since it uses less digits than its factorization.

214670128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 214670128608 in words is "two hundred fourteen billion, six hundred seventy million, one hundred twenty-eight thousand, six hundred eight".