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23969417472 = 28327111319547
BaseRepresentation
bin10110010100101100…
…000100100100000000
32021212110200120100200
4112110230010210000
5343042132324342
615002243445200
71505661454410
oct262454044400
967773616320
1023969417472
11a190125130
12478b386800
13234cb7c180
141235558640
1595449e94c
hex594b04900

23969417472 has 864 divisors, whose sum is σ = 97852984320. Its totient is φ = 5434490880.

The previous prime is 23969417447. The next prime is 23969417497. The reversal of 23969417472 is 27471496932.

It is an interprime number because it is at equal distance from previous prime (23969417447) and next prime (23969417497).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 43819503 + ... + 43820049.

Almost surely, 223969417472 is an apocalyptic number.

23969417472 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 23969417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926492160).

23969417472 is an abundant number, since it is smaller than the sum of its proper divisors (73883566848).

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

23969417472 is a wasteful number, since it uses less digits than its factorization.

23969417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 23969417472 in words is "twenty-three billion, nine hundred sixty-nine million, four hundred seventeen thousand, four hundred seventy-two".