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23058190848 = 2937111931331
BaseRepresentation
bin10101011110011000…
…000001001000000000
32012111222001110102110
4111132120001020000
5334210344101343
614332013015320
71444255250130
oct253630011000
965458043373
1023058190848
119862825080
124576184540
132236154814
14118a518ac0
158ee4a6833
hex55e601200

23058190848 has 640 divisors, whose sum is σ = 83468943360. Its totient is φ = 5474304000.

The previous prime is 23058190843. The next prime is 23058190849. The reversal of 23058190848 is 84809185032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23058190797 and 23058190806.

It is not an unprimeable number, because it can be changed into a prime (23058190843) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69662043 + ... + 69662373.

It is an arithmetic number, because the mean of its divisors is an integer number (130420224).

Almost surely, 223058190848 is an apocalyptic number.

23058190848 is a gapful number since it is divisible by the number (28) 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 23058190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41734471680).

23058190848 is an abundant number, since it is smaller than the sum of its proper divisors (60410752512).

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

23058190848 is a wasteful number, since it uses less digits than its factorization.

23058190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 23058190848 in words is "twenty-three billion, fifty-eight million, one hundred ninety thousand, eight hundred forty-eight".