Search a number
-
+
23056190976 = 2937131731313
BaseRepresentation
bin10101011110010000…
…011000111000000000
32012111211021212010010
4111132100120320000
5334204341102401
614331502104520
71444232250450
oct253620307000
965454255103
1023056190976
119861689595
12457557b140
132235904470
14118a157d60
158ee20ded6
hex55e418e00

23056190976 has 640 divisors, whose sum is σ = 82890694656. Its totient is φ = 5520752640.

The previous prime is 23056190933. The next prime is 23056190981. The reversal of 23056190976 is 67909165032.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 73661796 + ... + 73662108.

Almost surely, 223056190976 is an apocalyptic number.

23056190976 is a gapful number since it is divisible by the number (26) 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 23056190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41445347328).

23056190976 is an abundant number, since it is smaller than the sum of its proper divisors (59834503680).

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

23056190976 is a wasteful number, since it uses less digits than its factorization.

23056190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 23056190976 in words is "twenty-three billion, fifty-six million, one hundred ninety thousand, nine hundred seventy-six".