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23148513612 = 22337281108967
BaseRepresentation
bin10101100011110000…
…100100100101001100
32012202021000022222000
4111203300210211030
5334402004413422
614345000552300
71446433055610
oct254360444514
965667008860
1023148513612
1198a9806994
1245a0482690
13224ba8a643
14119850b340
15907398cac
hex563c2494c

23148513612 has 96 divisors (see below), whose sum is σ = 68832906240. Its totient is φ = 6590263680.

The previous prime is 23148513581. The next prime is 23148513617. The reversal of 23148513612 is 21631584132.

23148513612 is a `hidden beast` number, since 2 + 31 + 4 + 8 + 5 + 1 + 3 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23148513617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157953 + ... + 266919.

It is an arithmetic number, because the mean of its divisors is an integer number (717009440).

Almost surely, 223148513612 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 23148513612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34416453120).

23148513612 is an abundant number, since it is smaller than the sum of its proper divisors (45684392628).

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

23148513612 is a wasteful number, since it uses less digits than its factorization.

23148513612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109268 (or 109260 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

It can be divided in two parts, 23148513 and 612, that added together give a cube (23149125 = 2853).

The spelling of 23148513612 in words is "twenty-three billion, one hundred forty-eight million, five hundred thirteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 281 378 562 756 843 1124 1686 1967 2529 3372 3934 5058 5901 7587 7868 10116 11802 15174 17703 23604 30348 35406 53109 70812 106218 108967 212436 217934 326901 435868 653802 762769 980703 1307604 1525538 1961406 2288307 2942109 3051076 3922812 4576614 5884218 6864921 9153228 11768436 13729842 20594763 27459684 30619727 41189526 61239454 82379052 91859181 122478908 183718362 214338089 275577543 367436724 428676178 551155086 643014267 826732629 857352356 1102310172 1286028534 1653465258 1929042801 2572057068 3306930516 3858085602 5787128403 7716171204 11574256806 23148513612