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13149982656 = 263282927539
BaseRepresentation
bin11000011111100110…
…01100111111000000
31020221110000022222200
430033303030333000
5203412343421111
610012505433200
7643604002566
oct141763147700
936843008880
1013149982656
115638905668
12266ba9b800
131317495a35
148ca64ba36
1551e6cb256
hex30fcccfc0

13149982656 has 84 divisors (see below), whose sum is σ = 37738888200. Its totient is φ = 4377881088.

The previous prime is 13149982649. The next prime is 13149982663. The reversal of 13149982656 is 65628994131.

13149982656 is a `hidden beast` number, since 13 + 1 + 499 + 82 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13149982649) and next prime (13149982663).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463735 + ... + 491273.

Almost surely, 213149982656 is an apocalyptic number.

13149982656 is a gapful number since it is divisible by the number (16) 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 13149982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869444100).

13149982656 is an abundant number, since it is smaller than the sum of its proper divisors (24588905544).

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

13149982656 is a wasteful number, since it uses less digits than its factorization.

13149982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28386 (or 28373 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 13149982656 in words is "thirteen billion, one hundred forty-nine million, nine hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 26528 27539 29844 39792 53056 55078 59688 79584 82617 110156 119376 159168 165234 220312 238752 247851 330468 440624 477504 495702 660936 881248 991404 1321872 1762496 1982808 2643744 3965616 5287488 7931232 15862464 22829831 45659662 68489493 91319324 136978986 182638648 205468479 273957972 365277296 410936958 547915944 730554592 821873916 1095831888 1461109184 1643747832 2191663776 3287495664 4383327552 6574991328 13149982656