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12437066048 = 2611137128951
BaseRepresentation
bin10111001010100111…
…01001000101000000
31012002202112102020212
423211103221011000
5200432342103143
65414041253252
7620126213531
oct134523510500
935082472225
1012437066048
115302443890
1224b1194228
1312328833a4
1485dab0688
154cbd06918
hex2e54e9140

12437066048 has 56 divisors (see below), whose sum is σ = 27120153024. Its totient is φ = 5611904000.

The previous prime is 12437066029. The next prime is 12437066053. The reversal of 12437066048 is 84066073421.

It is a super-2 number, since 2×124370660482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12437065996 and 12437066014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31973 + ... + 160923.

Almost surely, 212437066048 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 12437066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560076512).

12437066048 is an abundant number, since it is smaller than the sum of its proper divisors (14683086976).

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

12437066048 is a wasteful number, since it uses less digits than its factorization.

12437066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129111 (or 129101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 12437066048 in words is "twelve billion, four hundred thirty-seven million, sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 1096 1507 2192 3014 4384 6028 8768 12056 24112 48224 96448 128951 257902 515804 1031608 1418461 2063216 2836922 4126432 5673844 8252864 11347688 17666287 22695376 35332574 45390752 70665148 90781504 141330296 194329157 282660592 388658314 565321184 777316628 1130642368 1554633256 3109266512 6218533024 12437066048