Search a number
-
+
20923043904 = 263474412
BaseRepresentation
bin10011011111000111…
…000101000001000000
32000000011101202110000
4103133013011001000
5320322244401104
613340101240000
71340330640000
oct233707050100
960004352400
1020923043904
118967570624
12407b103000
131c859ac069
141026b20000
15826cea639
hex4df1c5040

20923043904 has 525 divisors, whose sum is σ = 74163032141. Its totient is φ = 5832207360.

The previous prime is 20923043861. The next prime is 20923043929. The reversal of 20923043904 is 40934032902.

The square root of 20923043904 is 144648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1008189504 + 19914854400 = 31752^2 + 141120^2 .

It is a super-2 number, since 2×209230439042 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 510318124 + ... + 510318164.

Almost surely, 220923043904 is an apocalyptic number.

20923043904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20923043904 is the 144648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20923043904

20923043904 is an abundant number, since it is smaller than the sum of its proper divisors (53239988237).

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

20923043904 is an frugal number, since it uses more digits than its factorization.

20923043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 20923043904 by its sum of digits (36), we get a square (753229580544 = 8678882).

20923043904 divided by its sum of digits (36) gives a square (581195664 = 241082).

Multiplying 20923043904 by its product of nonzero digits (46656), we get a square (976185536385024 = 312439682).

The spelling of 20923043904 in words is "twenty billion, nine hundred twenty-three million, forty-three thousand, nine hundred four".