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404868692956 = 2271317791635081
BaseRepresentation
bin1011110010001000000…
…11011111101111011100
31102201000222212121011011
411321010003133233130
523113132341133311
6505554421105004
741152011052060
oct5710403375734
91381028777134
10404868692956
11146781905492
1266571858164
132c243214550
141584aa43aa0
15a7e9064321
hex5e440dfbdc

404868692956 has 192 divisors, whose sum is σ = 940929454080. Its totient is φ = 147895787520.

The previous prime is 404868692941. The next prime is 404868692981. The reversal of 404868692956 is 659296868404.

It is a junction number, because it is equal to n+sod(n) for n = 404868692891 and 404868692900.

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, 79680336 + ... + 79685416.

It is an arithmetic number, because the mean of its divisors is an integer number (4900674240).

Almost surely, 2404868692956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404868692956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470464727040).

404868692956 is an abundant number, since it is smaller than the sum of its proper divisors (536060761124).

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

404868692956 is a wasteful number, since it uses less digits than its factorization.

404868692956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 404868692956 in words is "four hundred four billion, eight hundred sixty-eight million, six hundred ninety-two thousand, nine hundred fifty-six".