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12334136433632 = 251357073519499
BaseRepresentation
bin1011001101111100001111…
…0100100001101111100000
31121200010120011201122010022
42303133003310201233200
53104040302411334012
642122120221253012
72412053253565106
oct263370364415740
947603504648108
1012334136433632
113a25972514a22
121472531404168
136b6147863c40
14308d92675c76
15165c8c42d472
hexb37c3d21be0

12334136433632 has 48 divisors (see below), whose sum is σ = 26151249726000. Its totient is φ = 5692567652352.

The previous prime is 12334136433617. The next prime is 12334136433643. The reversal of 12334136433632 is 23633463143321.

It is a super-2 number, since 2×123341364336322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23482619 + ... + 24002117.

It is an arithmetic number, because the mean of its divisors is an integer number (544817702625).

Almost surely, 212334136433632 is an apocalyptic number.

It is an amenable number.

12334136433632 is an abundant number, since it is smaller than the sum of its proper divisors (13817113292368).

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

12334136433632 is a wasteful number, since it uses less digits than its factorization.

12334136433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576595 (or 576587 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 44.

Adding to 12334136433632 its reverse (23633463143321), we get a palindrome (35967599576953).

The spelling of 12334136433632 in words is "twelve trillion, three hundred thirty-four billion, one hundred thirty-six million, four hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 57073 114146 228292 456584 519499 741949 913168 1038998 1483898 1826336 2077996 2967796 4155992 5935592 6753487 8311984 11871184 13506974 16623968 23742368 27013948 54027896 108055792 216111584 29649366427 59298732854 118597465708 237194931416 385441763551 474389862832 770883527102 948779725664 1541767054204 3083534108408 6167068216816 12334136433632