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23194767960 = 233657138741
BaseRepresentation
bin10101100110100001…
…000001001001011000
32012212111001022000000
4111212201001021120
5340000330033320
614353332213000
71450534163130
oct254641011130
965774038000
1023194767960
119922929521
1245b3a6a160
132258533b90
1411a070bac0
1590b483c90
hex566841258

23194767960 has 448 divisors, whose sum is σ = 96314460480. Its totient is φ = 4893281280.

The previous prime is 23194767949. The next prime is 23194767991. The reversal of 23194767960 is 6976749132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23194767897 and 23194767906.

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 111 ways as a sum of consecutive naturals, for example, 2649190 + ... + 2657930.

It is an arithmetic number, because the mean of its divisors is an integer number (214987635).

Almost surely, 223194767960 is an apocalyptic number.

23194767960 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 23194767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157230240).

23194767960 is an abundant number, since it is smaller than the sum of its proper divisors (73119692520).

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

23194767960 is a wasteful number, since it uses less digits than its factorization.

23194767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 23194767960 in words is "twenty-three billion, one hundred ninety-four million, seven hundred sixty-seven thousand, nine hundred sixty".