Search a number
-
+
12637357056 = 2103211712
BaseRepresentation
bin10111100010011111…
…01100010000000000
31012121201102020212100
423301033230100000
5201340130411211
65445554230400
7625110522402
oct136117542000
935551366770
1012637357056
1153a5505445
122548285400
13126520cc8c
1487c52ab72
154de6bc156
hex2f13ec400

12637357056 has 99 divisors (see below), whose sum is σ = 36521282343. Its totient is φ = 4208855040.

The previous prime is 12637357027. The next prime is 12637357063. The reversal of 12637357056 is 65075373621.

The square root of 12637357056 is 112416.

It is a perfect power (a square), and thus also a powerful number.

12637357056 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 73 + 570 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10791351 + ... + 10792521.

Almost surely, 212637357056 is an apocalyptic number.

12637357056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12637357056 is the 112416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12637357056

12637357056 is an abundant number, since it is smaller than the sum of its proper divisors (23883925287).

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

12637357056 is an frugal number, since it uses more digits than its factorization.

12637357056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 12637357056 in words is "twelve billion, six hundred thirty-seven million, three hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1171 1536 2304 2342 3072 3513 4608 4684 7026 9216 9368 10539 14052 18736 21078 28104 37472 42156 56208 74944 84312 112416 149888 168624 224832 299776 337248 449664 599552 674496 899328 1199104 1348992 1371241 1798656 2697984 2742482 3597312 4113723 5395968 5484964 8227446 10791936 10969928 12341169 16454892 21939856 24682338 32909784 43879712 49364676 65819568 87759424 98729352 131639136 175518848 197458704 263278272 351037696 394917408 526556544 702075392 789834816 1053113088 1404150784 1579669632 2106226176 3159339264 4212452352 6318678528 12637357056