Search a number
-
+
21392293104 = 243571324651
BaseRepresentation
bin10011111011000101…
…000111110011110000
32001012212101002100000
4103323011013303300
5322302411334404
613454423030000
71355056330320
oct237305076360
961185332300
1021392293104
119088434486
12419029b300
13202bc88500
14106d18d280
158530dc339
hex4fb147cf0

21392293104 has 360 divisors, whose sum is σ = 76849997952. Its totient is φ = 5640710400.

The previous prime is 21392293067. The next prime is 21392293133. The reversal of 21392293104 is 40139229312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4597179 + ... + 4601829.

Almost surely, 221392293104 is an apocalyptic number.

21392293104 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 21392293104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38424998976).

21392293104 is an abundant number, since it is smaller than the sum of its proper divisors (55457704848).

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

21392293104 is a wasteful number, since it uses less digits than its factorization.

21392293104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21392293104 in words is "twenty-one billion, three hundred ninety-two million, two hundred ninety-three thousand, one hundred four".