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406613376399 = 31931230115097
BaseRepresentation
bin1011110101011000000…
…10111011110110001111
31102212112120210200220110
411322230002323312033
523130221011021044
6510443503451103
741243154446526
oct5725402736617
91385476720813
10406613376399
11147497717a2a
1266979bb6a93
132c460807309
141597463b4bd
15a89c2e26b9
hex5eac0bbd8f

406613376399 has 16 divisors (see below), whose sum is σ = 589094650880. Its totient is φ = 248524303680.

The previous prime is 406613376347. The next prime is 406613376401. The reversal of 406613376399 is 993673316604.

It is not a de Polignac number, because 406613376399 - 27 = 406613376271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406613376199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115055782 + ... + 115059315.

It is an arithmetic number, because the mean of its divisors is an integer number (36818415680).

Almost surely, 2406613376399 is an apocalyptic number.

406613376399 is a deficient number, since it is larger than the sum of its proper divisors (182481274481).

406613376399 is a wasteful number, since it uses less digits than its factorization.

406613376399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230115150.

The product of its (nonzero) digits is 13226976, while the sum is 57.

The spelling of 406613376399 in words is "four hundred six billion, six hundred thirteen million, three hundred seventy-six thousand, three hundred ninety-nine".

Divisors: 1 3 19 31 57 93 589 1767 230115097 690345291 4372186843 7133568007 13116560529 21400704021 135537792133 406613376399