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132583940256 = 2531723801557
BaseRepresentation
bin111101101111010011…
…1100110000010100000
3110200020000002000021210
41323132213212002200
54133012442042011
6140524101550120
712402360616605
oct1733647460240
9420200060253
10132583940256
11512571a5749
1221842115340
13c66c313971
1465ba72a6ac
1536aeb206a6
hex1ede9e60a0

132583940256 has 48 divisors (see below), whose sum is σ = 348235269984. Its totient is φ = 44168941824.

The previous prime is 132583940249. The next prime is 132583940267. The reversal of 132583940256 is 652049385231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 235371 + ... + 566186.

It is an arithmetic number, because the mean of its divisors is an integer number (7254901458).

Almost surely, 2132583940256 is an apocalyptic number.

132583940256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132583940256 is an abundant number, since it is smaller than the sum of its proper divisors (215651329728).

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

132583940256 is a wasteful number, since it uses less digits than its factorization.

132583940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803293 (or 803285 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 132583940256 in words is "one hundred thirty-two billion, five hundred eighty-three million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1723 3446 5169 6892 10338 13784 20676 27568 41352 55136 82704 165408 801557 1603114 2404671 3206228 4809342 6412456 9618684 12824912 19237368 25649824 38474736 76949472 1381082711 2762165422 4143248133 5524330844 8286496266 11048661688 16572992532 22097323376 33145985064 44194646752 66291970128 132583940256