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12924374008 = 2371355731873
BaseRepresentation
bin11000000100101101…
…00100101111111000
31020100201111020002211
430002112210233320
5202432114432013
65534250104504
7635164236460
oct140226445770
936321436084
1012924374008
115532521537
12260841b134
1312ac8134b0
148a86c0ba0
155099b423d
hex3025a4bf8

12924374008 has 64 divisors (see below), whose sum is σ = 29879962560. Its totient is φ = 5103599616.

The previous prime is 12924374003. The next prime is 12924374017. The reversal of 12924374008 is 80047342921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924374003) 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, 389560 + ... + 421432.

It is an arithmetic number, because the mean of its divisors is an integer number (466874415).

Almost surely, 212924374008 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 12924374008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939981280).

12924374008 is an abundant number, since it is smaller than the sum of its proper divisors (16955588552).

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

12924374008 is a wasteful number, since it uses less digits than its factorization.

12924374008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32456 (or 32452 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12924374008 in words is "twelve billion, nine hundred twenty-four million, three hundred seventy-four thousand, eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 557 728 1114 2228 3899 4456 7241 7798 14482 15596 28964 31192 31873 50687 57928 63746 101374 127492 202748 223111 254984 405496 414349 446222 828698 892444 1657396 1784888 2900443 3314792 5800886 11601772 17753261 23203544 35506522 71013044 124272827 142026088 230792393 248545654 461584786 497091308 923169572 994182616 1615546751 1846339144 3231093502 6462187004 12924374008