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132488983296 = 2832193026521
BaseRepresentation
bin111101101100011110…
…1010111001100000000
3110122222101101200211100
41323120331113030000
54132314134431141
6140510430414400
712400125530265
oct1733075271400
9418871350740
10132488983296
115120863911a
1221816361400
13c655747707
1465abc8d26c
1536a66150b6
hex1ed8f57300

132488983296 has 108 divisors (see below), whose sum is σ = 402103712920. Its totient is φ = 41838612480.

The previous prime is 132488983213. The next prime is 132488983303. The reversal of 132488983296 is 692389884231.

132488983296 is a `hidden beast` number, since 1 + 32 + 488 + 9 + 8 + 32 + 96 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 1469485 + ... + 1557036.

Almost surely, 2132488983296 is an apocalyptic number.

132488983296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132488983296 is an abundant number, since it is smaller than the sum of its proper divisors (269614729624).

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

132488983296 is a wasteful number, since it uses less digits than its factorization.

132488983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026562 (or 3026545 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 132488983296 in words is "one hundred thirty-two billion, four hundred eighty-eight million, nine hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 3026521 6053042 9079563 12106084 18159126 24212168 27238689 36318252 48424336 54477378 57503899 72636504 96848672 108954756 115007798 145273008 172511697 193697344 217909512 230015596 290546016 345023394 387394688 435819024 460031192 517535091 581092032 690046788 774789376 871638048 920062384 1035070182 1162184064 1380093576 1743276096 1840124768 2070140364 2324368128 2760187152 3486552192 3680249536 4140280728 5520374304 6973104384 7360499072 8280561456 11040748608 14720998144 16561122912 22081497216 33122245824 44162994432 66244491648 132488983296