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11534166339432 = 2331147929574979
BaseRepresentation
bin1010011111011000000111…
…1000110010111101101000
31111211122200212212021011220
42213312001320302331220
53002433433040330212
640310420050022040
72300213252150022
oct247660170627550
944748625767156
1011534166339432
113747681226970
121363494b77920
13658889b58709
142bc384297012
1515006ba9738c
hexa7d81e32f68

11534166339432 has 64 divisors (see below), whose sum is σ = 32126111308800. Its totient is φ = 3420835919040.

The previous prime is 11534166339407. The next prime is 11534166339433. The reversal of 11534166339432 is 23493366143511.

It is not an unprimeable number, because it can be changed into a prime (11534166339433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 464775082 + ... + 464799897.

It is an arithmetic number, because the mean of its divisors is an integer number (501970489200).

Almost surely, 211534166339432 is an apocalyptic number.

11534166339432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11534166339432 is an abundant number, since it is smaller than the sum of its proper divisors (20591944969368).

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

11534166339432 is a wasteful number, since it uses less digits than its factorization.

11534166339432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929575046 (or 929575042 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The spelling of 11534166339432 in words is "eleven trillion, five hundred thirty-four billion, one hundred sixty-six million, three hundred thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 929574979 1859149958 2788724937 3718299916 5577449874 7436599832 10225324769 11154899748 20450649538 22309799496 30675974307 40901299076 43690024013 61351948614 81802598152 87380048026 122703897228 131070072039 174760096052 245407794456 262140144078 349520192104 480590264143 524280288156 961180528286 1048560576312 1441770792429 1922361056572 2883541584858 3844722113144 5767083169716 11534166339432