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133932964932 = 223213286181549
BaseRepresentation
bin111110010111100000…
…1101101110001000100
3110210201000111120020200
41330233001231301010
54143243314334212
6141310012130500
712450661263264
oct1745701556104
9423630446220
10133932964932
1151889737978
1221b59a66a30
13c825955110
1466a796d7a4
15373d2966dc
hex1f2f06dc44

133932964932 has 36 divisors (see below), whose sum is σ = 364595294700. Its totient is φ = 41210142912.

The previous prime is 133932964861. The next prime is 133932964937. The reversal of 133932964932 is 239469239331.

133932964932 is a `hidden beast` number, since 1 + 3 + 39 + 32 + 96 + 493 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9037164096 + 124895800836 = 95064^2 + 353406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133932964937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143090307 + ... + 143091242.

It is an arithmetic number, because the mean of its divisors is an integer number (10127647075).

Almost surely, 2133932964932 is an apocalyptic number.

133932964932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133932964932 is an abundant number, since it is smaller than the sum of its proper divisors (230662329768).

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

133932964932 is a wasteful number, since it uses less digits than its factorization.

133932964932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286181572 (or 286181567 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The spelling of 133932964932 in words is "one hundred thirty-three billion, nine hundred thirty-two million, nine hundred sixty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 286181549 572363098 858544647 1144726196 1717089294 2575633941 3434178588 3720360137 5151267882 7440720274 10302535764 11161080411 14881440548 22322160822 33483241233 44644321644 66966482466 133932964932