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21492934632 = 233413331487
BaseRepresentation
bin10100000001000101…
…000010011111101000
32001110212202012120000
4110001011002133220
5323004142402012
613512420103000
71360420634001
oct240105023750
961425665500
1021492934632
11912a2239a4
1241b9b34a60
132046a95000
14107c6aa1a8
1585bd6bddc
hex5011427e8

21492934632 has 320 divisors, whose sum is σ = 67456435200. Its totient is φ = 6386739840.

The previous prime is 21492934621. The next prime is 21492934643. The reversal of 21492934632 is 23643929412.

21492934632 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 2 + 9 + 3 + 4 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (21492934621) and next prime (21492934643).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44133093 + ... + 44133579.

It is an arithmetic number, because the mean of its divisors is an integer number (210801360).

Almost surely, 221492934632 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 21492934632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33728217600).

21492934632 is an abundant number, since it is smaller than the sum of its proper divisors (45963500568).

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

21492934632 is a wasteful number, since it uses less digits than its factorization.

21492934632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 536 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 21492934632 in words is "twenty-one billion, four hundred ninety-two million, nine hundred thirty-four thousand, six hundred thirty-two".