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12532493008 = 247317945691
BaseRepresentation
bin10111010101111111…
…01010101011010000
31012100102002121102201
423222333222223100
5201131304234013
65431330452544
7622365301330
oct135277525320
935312077381
1012532493008
1153512a1542
122519134154
131249585549
1486c6310c0
154d53a63dd
hex2eafeaad0

12532493008 has 80 divisors (see below), whose sum is σ = 29008936960. Its totient is φ = 5131900800.

The previous prime is 12532492997. The next prime is 12532493027. The reversal of 12532493008 is 80039423521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251443 + ... + 297133.

It is an arithmetic number, because the mean of its divisors is an integer number (362611712).

Almost surely, 212532493008 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 12532493008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504468480).

12532493008 is an abundant number, since it is smaller than the sum of its proper divisors (16476443952).

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

12532493008 is a wasteful number, since it uses less digits than its factorization.

12532493008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45816 (or 45810 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

It can be divided in two parts, 1253 and 2493008, that added together give a triangular number (2494261 = T2233).

The spelling of 12532493008 in words is "twelve billion, five hundred thirty-two million, four hundred ninety-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 217 248 316 434 496 553 632 868 1106 1264 1736 2212 2449 3472 4424 4898 8848 9796 17143 19592 34286 39184 45691 68572 91382 137144 182764 274288 319837 365528 639674 731056 1279348 1416421 2558696 2832842 3609589 5117392 5665684 7219178 9914947 11331368 14438356 19829894 22662736 25267123 28876712 39659788 50534246 57753424 79319576 101068492 111897259 158639152 202136984 223794518 404273968 447589036 783280813 895178072 1566561626 1790356144 3133123252 6266246504 12532493008