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214674972303360 = 2133529314794057
BaseRepresentation
bin110000110011111011101001…
…011101110110000000000000
31001011002201121221000200121110
4300303323221131312000000
5211114213320402201420
62040324153143323320
763134516636624202
oct6063735135660000
91034081557020543
10214674972303360
1162447165333718
12200b1545a50540
1392a29bc499aba
143b02477480772
1519c42c6c00ee0
hexc33ee9776000

214674972303360 has 896 divisors, whose sum is σ = 735240101068800. Its totient is φ = 53364821852160.

The previous prime is 214674972303299. The next prime is 214674972303377. The reversal of 214674972303360 is 63303279476412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214674972303360.

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, 52914706452 + ... + 52914710508.

Almost surely, 2214674972303360 is an apocalyptic number.

214674972303360 is a gapful number since it is divisible by the number (20) 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 214674972303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367620050534400).

214674972303360 is an abundant number, since it is smaller than the sum of its proper divisors (520565128765440).

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

214674972303360 is a wasteful number, since it uses less digits than its factorization.

214674972303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 57.

The spelling of 214674972303360 in words is "two hundred fourteen trillion, six hundred seventy-four billion, nine hundred seventy-two million, three hundred three thousand, three hundred sixty".