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380521608275214 = 233737167400340699
BaseRepresentation
bin101011010000101010001011…
…1010010100110010100001110
31211220022111210010210102211000
41112201110113102212110032
5344333431223204301324
63425145114044241130
7143102531120031030
oct12641242722462416
91756274703712730
10380521608275214
1110027834276a04a
12368177788401a6
1313443059031c63
1469d74b6341c50
152ded390e2c9c9
hex15a15174a650e

380521608275214 has 256 divisors, whose sum is σ = 998740334592000. Its totient is φ = 105119792765568.

The previous prime is 380521608275203. The next prime is 380521608275267. The reversal of 380521608275214 is 412572806125083.

It is a happy number.

380521608275214 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 2 + 1 + 608 + 2 + 7 + 5 + 21 + 4 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9349634637 + ... + 9349675335.

It is an arithmetic number, because the mean of its divisors is an integer number (3901329432000).

Almost surely, 2380521608275214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380521608275214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499370167296000).

380521608275214 is an abundant number, since it is smaller than the sum of its proper divisors (618218726316786).

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

380521608275214 is a wasteful number, since it uses less digits than its factorization.

380521608275214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44924 (or 44918 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 380521608275214 in words is "three hundred eighty trillion, five hundred twenty-one billion, six hundred eight million, two hundred seventy-five thousand, two hundred fourteen".