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132427959534 = 233131511124847
BaseRepresentation
bin111101101010101010…
…0100100110011101110
3110122211010120100222000
41323111110210303232
54132203024201114
6140500410433130
712365455040403
oct1732524446356
9418733510860
10132427959534
1151187149062
12217b9a327a6
13c645bcc790
1465a3b262aa
1536a10ade09
hex1ed5524cee

132427959534 has 64 divisors (see below), whose sum is σ = 317133895680. Its totient is φ = 40719771360.

The previous prime is 132427959529. The next prime is 132427959619. The reversal of 132427959534 is 435959724231.

It is a happy number.

132427959534 is a `hidden beast` number, since 1 + 3 + 2 + 42 + 7 + 9 + 595 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998299 + ... + 1123145.

It is an arithmetic number, because the mean of its divisors is an integer number (4955217120).

Almost surely, 2132427959534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132427959534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158566947840).

132427959534 is an abundant number, since it is smaller than the sum of its proper divisors (184705936146).

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

132427959534 is a wasteful number, since it uses less digits than its factorization.

132427959534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126382 (or 126376 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 132427959534 in words is "one hundred thirty-two billion, four hundred twenty-seven million, nine hundred fifty-nine thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1511 3022 4533 9066 13599 19643 27198 39286 40797 58929 81594 117858 124847 176787 249694 353574 374541 530361 749082 1060722 1123623 1623011 2247246 3246022 3370869 4869033 6741738 9738066 14607099 29214198 43821297 87642594 188643817 377287634 565931451 1131862902 1697794353 2452369621 3395588706 4904739242 5093383059 7357108863 10186766118 14714217726 22071326589 44142653178 66213979767 132427959534