Search a number
-
+
12013651056 = 24311194872459
BaseRepresentation
bin10110011000001000…
…11100010001110000
31011000020210201002010
423030010130101300
5144100443313211
65304034122520
7603465230511
oct131404342160
934006721063
1012013651056
115105435940
1223b3420440
131195c34184
1481d772a08
154a4a6a4a6
hex2cc11c470

12013651056 has 160 divisors (see below), whose sum is σ = 35726284800. Its totient is φ = 3440413440.

The previous prime is 12013651049. The next prime is 12013651073. The reversal of 12013651056 is 65015631021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4884355 + ... + 4886813.

It is an arithmetic number, because the mean of its divisors is an integer number (223289280).

Almost surely, 212013651056 is an apocalyptic number.

12013651056 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 12013651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863142400).

12013651056 is an abundant number, since it is smaller than the sum of its proper divisors (23712633744).

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

12013651056 is a wasteful number, since it uses less digits than its factorization.

12013651056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 12013651056 in words is "twelve billion, thirteen million, six hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 487 528 627 836 912 974 1254 1461 1672 1948 2459 2508 2922 3344 3896 4918 5016 5357 5844 7377 7792 9253 9836 10032 10714 11688 14754 16071 18506 19672 21428 23376 27049 27759 29508 32142 37012 39344 42856 46721 54098 55518 59016 64284 74024 81147 85712 93442 101783 108196 111036 118032 128568 140163 148048 162294 186884 203566 216392 222072 257136 280326 305349 324588 373768 407132 432784 444144 513931 560652 610698 649176 747536 814264 1027862 1121304 1197533 1221396 1298352 1541793 1628528 2055724 2242608 2395066 2442792 3083586 3592599 4111448 4790132 4885584 6167172 7185198 8222896 9580264 12334344 13172863 14370396 19160528 22753127 24668688 26345726 28740792 39518589 45506254 52691452 57481584 68259381 79037178 91012508 105382904 136518762 158074356 182025016 210765808 250284397 273037524 316148712 364050032 500568794 546075048 632297424 750853191 1001137588 1092150096 1501706382 2002275176 3003412764 4004550352 6006825528 12013651056