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23514347472 = 24371129792777
BaseRepresentation
bin10101111001100100…
…000111011111010000
32020200202101121200020
4111321210013133100
5341124133104342
614445150023440
71461464440620
oct257144073720
966622347606
1023514347472
119a77266320
124682aa7b80
1322a97c8895
1411d0d3a880
1592955e0ec
hex5799077d0

23514347472 has 320 divisors, whose sum is σ = 79366348800. Its totient is φ = 5820272640.

The previous prime is 23514347471. The next prime is 23514347491. The reversal of 23514347472 is 27474341532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23514347471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8466148 + ... + 8468924.

It is an arithmetic number, because the mean of its divisors is an integer number (248019840).

Almost surely, 223514347472 is an apocalyptic number.

23514347472 is a gapful number since it is divisible by the number (22) 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 23514347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39683174400).

23514347472 is an abundant number, since it is smaller than the sum of its proper divisors (55852001328).

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

23514347472 is a wasteful number, since it uses less digits than its factorization.

23514347472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The spelling of 23514347472 in words is "twenty-three billion, five hundred fourteen million, three hundred forty-seven thousand, four hundred seventy-two".