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23674000896 = 29367131741
BaseRepresentation
bin10110000011000101…
…001001011000000000
32021002212210212000000
4112003011021120000
5341441021012041
614513052000000
71465443454530
oct260305113000
967085725000
1023674000896
11a0493a12a7
124708460000
1323038c7670
1412082194c0
15938598bb6
hex583149600

23674000896 has 1120 divisors, whose sum is σ = 94675065408. Its totient is φ = 5733089280.

The previous prime is 23674000891. The next prime is 23674000963. The reversal of 23674000896 is 69800047632.

23674000896 is a `hidden beast` number, since 236 + 7 + 400 + 0 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23674000891) 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 111 ways as a sum of consecutive naturals, for example, 577414636 + ... + 577414676.

Almost surely, 223674000896 is an apocalyptic number.

23674000896 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 23674000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337532704).

23674000896 is an abundant number, since it is smaller than the sum of its proper divisors (71001064512).

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

23674000896 is an equidigital number, since it uses as much as digits as its factorization.

23674000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23674000896 in words is "twenty-three billion, six hundred seventy-four million, eight hundred ninety-six", and thus it is an aban number.