Search a number
-
+
23054978315520 = 283453154113259
BaseRepresentation
bin1010011110111111001111…
…10010101111010100000000
310000122000221002010120210000
411033133213302233110000
511010213043422044040
6121011151045440000
74566444566163114
oct517374762572400
9100560832116700
1023054978315520
11738961a242a08
122704261710000
13cb30c908c188
14599c1cadd744
1529eaa6041130
hex14f7e7caf500

23054978315520 has 720 divisors, whose sum is σ = 85319894499840. Its totient is φ = 5938226380800.

The previous prime is 23054978315513. The next prime is 23054978315573. The reversal of 23054978315520 is 2551387945032.

23054978315520 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 4 + 9 + 7 + 83 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1738810651 + ... + 1738823909.

It is an arithmetic number, because the mean of its divisors is an integer number (118499853472).

Almost surely, 223054978315520 is an apocalyptic number.

23054978315520 is a gapful number since it is divisible by the number (20) 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 23054978315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42659947249920).

23054978315520 is an abundant number, since it is smaller than the sum of its proper divisors (62264916184320).

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

23054978315520 is a wasteful number, since it uses less digits than its factorization.

23054978315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 23054978315520 in words is "twenty-three trillion, fifty-four billion, nine hundred seventy-eight million, three hundred fifteen thousand, five hundred twenty".