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12013434432 = 263310136863
BaseRepresentation
bin10110011000000111…
…00111011001000000
31011000020101200221000
423030003213121000
5144100414400212
65304025332000
7603463336116
oct131403473100
934006350830
1012013434432
1151052a810a
1223b3337000
131195b896ac
1481d717ab6
154a4a261dc
hex2cc0e7640

12013434432 has 112 divisors (see below), whose sum is σ = 35357287680. Its totient is φ = 3999942144.

The previous prime is 12013434431. The next prime is 12013434449. The reversal of 12013434432 is 23443431021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12013434396 and 12013434405.

It is not an unprimeable number, because it can be changed into a prime (12013434431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1747033 + ... + 1753895.

Almost surely, 212013434432 is an apocalyptic number.

12013434432 is a gapful number since it is divisible by the number (12) 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 12013434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678643840).

12013434432 is an abundant number, since it is smaller than the sum of its proper divisors (23343853248).

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

12013434432 is a wasteful number, since it uses less digits than its factorization.

12013434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12013434432 its reverse (23443431021), we get a palindrome (35456865453).

The spelling of 12013434432 in words is "twelve billion, thirteen million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1013 1728 2026 3039 4052 6078 6863 8104 9117 12156 13726 16208 18234 20589 24312 27351 27452 32416 36468 41178 48624 54702 54904 61767 64832 72936 82356 97248 109404 109808 123534 145872 164712 185301 194496 218808 219616 247068 291744 329424 370602 437616 439232 494136 583488 658848 741204 875232 988272 1317696 1482408 1750464 1976544 2964816 3953088 5929632 6952219 11859264 13904438 20856657 27808876 41713314 55617752 62569971 83426628 111235504 125139942 166853256 187709913 222471008 250279884 333706512 375419826 444942016 500559768 667413024 750839652 1001119536 1334826048 1501679304 2002239072 3003358608 4004478144 6006717216 12013434432