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2913490944 = 21134713193
BaseRepresentation
bin1010110110101000…
…0101100000000000
321112001020200020000
42231222011200000
521431323202234
61201034120000
7132125156460
oct25552054000
97461220200
102913490944
111265653961
12693880000
133757b5550
141d8d27ba0
15120ba6899
hexada85800

2913490944 has 480 divisors, whose sum is σ = 10766115360. Its totient is φ = 764411904.

The previous prime is 2913490927. The next prime is 2913490969. The reversal of 2913490944 is 4490943192.

It is a super-2 number, since 2×29134909442 = 16976858961540022272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2913490944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095712 + ... + 15095904.

It is an arithmetic number, because the mean of its divisors is an integer number (22429407).

Almost surely, 22913490944 is an apocalyptic number.

2913490944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2913490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383057680).

2913490944 is an abundant number, since it is smaller than the sum of its proper divisors (7852624416).

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

2913490944 is a wasteful number, since it uses less digits than its factorization.

2913490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2913490944 is about 53976.7630003875. The cubic root of 2913490944 is about 1428.2510680647.

The spelling of 2913490944 in words is "two billion, nine hundred thirteen million, four hundred ninety thousand, nine hundred forty-four".