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23992417344 = 26372937127131
BaseRepresentation
bin10110010110000011…
…110011110001000000
32021221001222002020210
4112112003303301000
5343114024323334
615004424434120
71506361116420
oct262603636100
967831862223
1023992417344
11a1a2104295
124797018940
132354872b6c
141238624480
159564e45e9
hex5960f3c40

23992417344 has 448 divisors, whose sum is σ = 78278492160. Its totient is φ = 6340239360.

The previous prime is 23992417321. The next prime is 23992417349. The reversal of 23992417344 is 44371429932.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 23992417293 and 23992417302.

It is not an unprimeable number, because it can be changed into a prime (23992417349) 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, 183148159 + ... + 183148289.

Almost surely, 223992417344 is an apocalyptic number.

23992417344 is a gapful number since it is divisible by the number (24) 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 23992417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39139246080).

23992417344 is an abundant number, since it is smaller than the sum of its proper divisors (54286074816).

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

23992417344 is a wasteful number, since it uses less digits than its factorization.

23992417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 23992417344 in words is "twenty-three billion, nine hundred ninety-two million, four hundred seventeen thousand, three hundred forty-four".