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12481307436 = 223131311494099
BaseRepresentation
bin10111001111111000…
…11010001100101100
31012012211210010000210
423213330122030230
5201030203314221
65422301422420
7621204235263
oct134774321454
935184703023
1012481307436
115325411014
122503b6aa10
13123baa3620
148659095da
154d0b45276
hex2e7f1a32c

12481307436 has 96 divisors (see below), whose sum is σ = 31822560000. Its totient is φ = 3784584960.

The previous prime is 12481307387. The next prime is 12481307441. The reversal of 12481307436 is 63470318421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12481307394 and 12481307403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042915 + ... + 3047013.

It is an arithmetic number, because the mean of its divisors is an integer number (331485000).

Almost surely, 212481307436 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 12481307436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911280000).

12481307436 is an abundant number, since it is smaller than the sum of its proper divisors (19341252564).

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

12481307436 is a wasteful number, since it uses less digits than its factorization.

12481307436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12481307436 in words is "twelve billion, four hundred eighty-one million, three hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 149 156 262 298 393 447 524 596 786 894 1572 1703 1788 1937 3406 3874 4099 5109 5811 6812 7748 8198 10218 11622 12297 16396 19519 20436 23244 24594 39038 49188 53287 58557 78076 106574 117114 159861 213148 234228 253747 319722 507494 536969 610751 639444 761241 1014988 1073938 1221502 1522482 1610907 1832253 2147876 2443004 3044964 3221814 3664506 6443628 6980597 7329012 7939763 13961194 15879526 20941791 23819289 27922388 31759052 41883582 47638578 80008381 83767164 95277156 160016762 240025143 320033524 480050286 960100572 1040108953 2080217906 3120326859 4160435812 6240653718 12481307436