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23824269420 = 223572311731511
BaseRepresentation
bin10110001100000010…
…011000000001101100
32021111100120021122220
4112030002120001230
5342243003110140
614540020435340
71502246643300
oct261402300154
967440507586
1023824269420
11a1161a7266
12474a848b50
132328a8b853
141220173d00
1594687cbd0
hex58c09806c

23824269420 has 288 divisors, whose sum is σ = 80618582016. Its totient is φ = 5235955200.

The previous prime is 23824269367. The next prime is 23824269433. The reversal of 23824269420 is 2496242832.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15766465 + ... + 15767975.

It is an arithmetic number, because the mean of its divisors is an integer number (279925632).

Almost surely, 223824269420 is an apocalyptic number.

23824269420 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 23824269420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40309291008).

23824269420 is an abundant number, since it is smaller than the sum of its proper divisors (56794312596).

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

23824269420 is a wasteful number, since it uses less digits than its factorization.

23824269420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 23824269420 in words is "twenty-three billion, eight hundred twenty-four million, two hundred sixty-nine thousand, four hundred twenty".