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4013162496 = 218377
BaseRepresentation
bin1110111100110100…
…0000000000000000
3101100200110210000000
43233031000000000
531204332144441
61502120000000
7201310214130
oct35715000000
911320423000
104013162496
11177a364422
12940000000
134bc57c885
142a0dbcac0
151874c52b6
hexef340000

4013162496 has 304 divisors, whose sum is σ = 13757290880. Its totient is φ = 1146617856.

The previous prime is 4013162467. The next prime is 4013162507. The reversal of 4013162496 is 6942613104.

4013162496 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 162 + 496 = 666.

It is a super-2 number, since 2×40131624962 = 32210946438601900032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4013162496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573308925 + ... + 573308931.

Almost surely, 24013162496 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 4013162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878645440).

4013162496 is an abundant number, since it is smaller than the sum of its proper divisors (9744128384).

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

4013162496 is an frugal number, since it uses more digits than its factorization.

4013162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4013162496 is about 63349.5264070695. The cubic root of 4013162496 is about 1589.1403255955.

The spelling of 4013162496 in words is "four billion, thirteen million, one hundred sixty-two thousand, four hundred ninety-six".