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14380495932726 = 232711291163307633
BaseRepresentation
bin1101000101000011100001…
…0110100000110100110110
31212220202120111011001022100
43101100320112200310312
53341102223424321401
650330150355242530
73012646044411510
oct321207026406466
955822514131270
1014380495932726
114644809067620
121743052ba9446
138040c8877381
1437a03c162bb0
1519e10a38db86
hexd14385a0d36

14380495932726 has 192 divisors, whose sum is σ = 40220216824320. Its totient is φ = 3603281310720.

The previous prime is 14380495932653. The next prime is 14380495932779. The reversal of 14380495932726 is 62723959408341.

14380495932726 is a `hidden beast` number, since 1 + 4 + 38 + 0 + 4 + 9 + 593 + 2 + 7 + 2 + 6 = 666.

It is a super-2 number, since 2×143804959327262 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 46591806 + ... + 46899438.

It is an arithmetic number, because the mean of its divisors is an integer number (209480295960).

It is a 1-persistent number, because it is pandigital, but 2⋅14380495932726 = 28760991865452 is not.

Almost surely, 214380495932726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14380495932726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110108412160).

14380495932726 is an abundant number, since it is smaller than the sum of its proper divisors (25839720891594).

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

14380495932726 is a wasteful number, since it uses less digits than its factorization.

14380495932726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308851 (or 308848 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 14380495932726 in words is "fourteen trillion, three hundred eighty billion, four hundred ninety-five million, nine hundred thirty-two thousand, seven hundred twenty-six".