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214860957696 = 21137721189
BaseRepresentation
bin1100100000011010110…
…1100000100000000000
3202112121000210120000000
43020012231200200000
512010013401121241
6242412240000000
721344312002200
oct3100655404000
9675530716000
10214860957696
1183138455720
1235784600000
1317352104a78
14a583a70400
1558c7e70eb6
hex3206b60800

214860957696 has 1152 divisors, whose sum is σ = 826849296000. Its totient is φ = 55180984320.

The previous prime is 214860957677. The next prime is 214860957709. The reversal of 214860957696 is 696759068412.

214860957696 is a `hidden beast` number, since 2 + 1 + 486 + 0 + 95 + 7 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2148609576962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2414168020 + ... + 2414168108.

It is an arithmetic number, because the mean of its divisors is an integer number (717751125).

Almost surely, 2214860957696 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 214860957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413424648000).

214860957696 is an abundant number, since it is smaller than the sum of its proper divisors (611988338304).

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

214860957696 is an frugal number, since it uses more digits than its factorization.

214860957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 214860957696 in words is "two hundred fourteen billion, eight hundred sixty million, nine hundred fifty-seven thousand, six hundred ninety-six".