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23194874880 = 210355103181
BaseRepresentation
bin10101100110100001…
…011011010000000000
32012212111020201200000
4111212201123100000
5340000341444010
614353334400000
71450535116632
oct254641332000
965774221600
1023194874880
1199229a1891
1245b3b00000
132258570748
1411a0738a52
1590b4a57c0
hex56685b400

23194874880 has 528 divisors, whose sum is σ = 84620425344. Its totient is φ = 6091407360.

The previous prime is 23194874867. The next prime is 23194874903. The reversal of 23194874880 is 8847849132.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128148390 + ... + 128148570.

Almost surely, 223194874880 is an apocalyptic number.

23194874880 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 23194874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42310212672).

23194874880 is an abundant number, since it is smaller than the sum of its proper divisors (61425550464).

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

23194874880 is a wasteful number, since it uses less digits than its factorization.

23194874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 23194874880 in words is "twenty-three billion, one hundred ninety-four million, eight hundred seventy-four thousand, eight hundred eighty".