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23379204096 = 211331572693
BaseRepresentation
bin10101110001100000…
…100101100000000000
32020100100002121211000
4111301200211200000
5340340034012341
614423521252000
71455233645613
oct256140454000
966310077730
1023379204096
119a07a51086
124645794000
1322877cbca1
1411baddc17a
1591c7668b6
hex571825800

23379204096 has 192 divisors, whose sum is σ = 69721797600. Its totient is φ = 7740555264.

The previous prime is 23379204091. The next prime is 23379204133. The reversal of 23379204096 is 69040297332.

23379204096 is a `hidden beast` number, since 233 + 7 + 9 + 2 + 0 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23379204091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8680126 + ... + 8682818.

Almost surely, 223379204096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23379204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860898800).

23379204096 is an abundant number, since it is smaller than the sum of its proper divisors (46342593504).

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

23379204096 is a wasteful number, since it uses less digits than its factorization.

23379204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

It can be divided in two parts, 23379 and 204096, that added together give a triangular number (227475 = T674).

The spelling of 23379204096 in words is "twenty-three billion, three hundred seventy-nine million, two hundred four thousand, ninety-six".