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23456278848 = 2631920293169
BaseRepresentation
bin10101110110000110…
…100110100101000000
32020112201010102111110
4111312012212211000
5341014301410343
614435313243320
71460161036422
oct256606464500
966481112443
1023456278848
119a47504522
124667563540
13229a776a52
1411c7342812
159243dd833
hex5761a6940

23456278848 has 112 divisors (see below), whose sum is σ = 65380616000. Its totient is φ = 7401259008.

The previous prime is 23456278823. The next prime is 23456278849. The reversal of 23456278848 is 84887265432.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456278849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400208 + ... + 7403376.

It is an arithmetic number, because the mean of its divisors is an integer number (583755500).

Almost surely, 223456278848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23456278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32690308000).

23456278848 is an abundant number, since it is smaller than the sum of its proper divisors (41924337152).

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

23456278848 is a wasteful number, since it uses less digits than its factorization.

23456278848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5222 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 57.

The spelling of 23456278848 in words is "twenty-three billion, four hundred fifty-six million, two hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2029 3169 3648 4058 6087 6338 8116 9507 12174 12676 16232 19014 24348 25352 32464 38028 38551 48696 50704 60211 64928 76056 77102 97392 101408 115653 120422 129856 152112 154204 180633 194784 202816 231306 240844 304224 308408 361266 389568 462612 481688 608448 616816 722532 925224 963376 1233632 1445064 1850448 1926752 2467264 2890128 3700896 3853504 5780256 6429901 7401792 11560512 12859802 19289703 25719604 38579406 51439208 77158812 102878416 122168119 154317624 205756832 244336238 308635248 366504357 411513664 488672476 617270496 733008714 977344952 1234540992 1466017428 1954689904 2932034856 3909379808 5864069712 7818759616 11728139424 23456278848