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214593910944 = 253717311374423
BaseRepresentation
bin1100011111011011001…
…0110011100010100000
3202111220102022011201120
43013312302303202200
512003442020122234
6242325540132240
721334560101220
oct3076662634240
9674812264646
10214593910944
1183010739526
123570b097080
131730b9a423a
14a55a3d8080
1558ae7c1049
hex31f6cb38a0

214593910944 has 384 divisors, whose sum is σ = 708936302592. Its totient is φ = 55424286720.

The previous prime is 214593910939. The next prime is 214593910991. The reversal of 214593910944 is 449019395412.

It is a happy number.

214593910944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2145939109442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48515517 + ... + 48519939.

It is an arithmetic number, because the mean of its divisors is an integer number (1846188288).

Almost surely, 2214593910944 is an apocalyptic number.

214593910944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214593910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354468151296).

214593910944 is an abundant number, since it is smaller than the sum of its proper divisors (494342391648).

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

214593910944 is a wasteful number, since it uses less digits than its factorization.

214593910944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 214593910944 in words is "two hundred fourteen billion, five hundred ninety-three million, nine hundred ten thousand, nine hundred forty-four".