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23189316993024 = 21537132592241
BaseRepresentation
bin1010100010111001011110…
…00000001000000000000000
310001002212200101001111001020
411101130233000020000000
511014413210122234044
6121153005233505440
74612241615123040
oct521345700100000
9101085611044036
1023189316993024
117430596997726
1227262b3412280
13cc2987aa5ab0
145a25244bd720
152a3319c28a19
hex15172f008000

23189316993024 has 256 divisors, whose sum is σ = 76107395602560. Its totient is φ = 6115861463040.

The previous prime is 23189316992957. The next prime is 23189316993049. The reversal of 23189316993024 is 42039961398132.

It is a tau number, because it is divible by the number of its divisors (256).

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 15 ways as a sum of consecutive naturals, for example, 7649544 + ... + 10241784.

Almost surely, 223189316993024 is an apocalyptic number.

23189316993024 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 23189316993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38053697801280).

23189316993024 is an abundant number, since it is smaller than the sum of its proper divisors (52918078609536).

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

23189316993024 is an equidigital number, since it uses as much as digits as its factorization.

23189316993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592294 (or 2592266 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 23189316993024 in words is "twenty-three trillion, one hundred eighty-nine billion, three hundred sixteen million, nine hundred ninety-three thousand, twenty-four".