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23417934120 = 23325720114621
BaseRepresentation
bin10101110011110100…
…010101000100101000
32020110000222022102100
4111303310111010220
5340424442342440
614431423333400
71456214104260
oct256364250450
966400868370
1023417934120
119a278a4569
124656751260
13229283c769
1411c22007a0
15920d67230
hex573d15128

23417934120 has 192 divisors, whose sum is σ = 87042983040. Its totient is φ = 5348851200.

The previous prime is 23417934103. The next prime is 23417934121. The reversal of 23417934120 is 2143971432.

It is a happy number.

23417934120 is a `hidden beast` number, since 234 + 1 + 7 + 9 + 3 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23417934121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5065410 + ... + 5070030.

It is an arithmetic number, because the mean of its divisors is an integer number (453348870).

Almost surely, 223417934120 is an apocalyptic number.

23417934120 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 23417934120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43521491520).

23417934120 is an abundant number, since it is smaller than the sum of its proper divisors (63625048920).

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

23417934120 is a wasteful number, since it uses less digits than its factorization.

23417934120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23417934120 in words is "twenty-three billion, four hundred seventeen million, nine hundred thirty-four thousand, one hundred twenty".