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12540989808 = 243378736887
BaseRepresentation
bin10111010111000000…
…00101000101110000
31012101000002021212000
423223200011011300
5201140443133213
65432232534000
7622530440334
oct135340050560
935330067760
1012540989808
115356075296
12251bb51300
13124b26bb39
1486d8037c4
154d5ed3c73
hex2eb805170

12540989808 has 80 divisors (see below), whose sum is σ = 36044002560. Its totient is φ = 4174905024.

The previous prime is 12540989731. The next prime is 12540989831. The reversal of 12540989808 is 80898904521.

12540989808 is a `hidden beast` number, since 1 + 2 + 540 + 9 + 8 + 98 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 321541 + ... + 358427.

It is an arithmetic number, because the mean of its divisors is an integer number (450550032).

Almost surely, 212540989808 is an apocalyptic number.

12540989808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540989808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022001280).

12540989808 is an abundant number, since it is smaller than the sum of its proper divisors (23503012752).

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

12540989808 is a wasteful number, since it uses less digits than its factorization.

12540989808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37691 (or 37679 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12540989808 in words is "twelve billion, five hundred forty million, nine hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 787 1574 2361 3148 4722 6296 7083 9444 12592 14166 18888 21249 28332 36887 37776 42498 56664 73774 84996 110661 113328 147548 169992 221322 295096 331983 339984 442644 590192 663966 885288 995949 1327932 1770576 1991898 2655864 3983796 5311728 7967592 15935184 29030069 58060138 87090207 116120276 174180414 232240552 261270621 348360828 464481104 522541242 696721656 783811863 1045082484 1393443312 1567623726 2090164968 3135247452 4180329936 6270494904 12540989808