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132545508624 = 243633712
BaseRepresentation
bin111101101110001010…
…0111111010100010000
3110200010022202111000000
41323130110333110100
54132423122233444
6140520210130000
712401413143204
oct1733424772420
9420108674000
10132545508624
1151237536471
1221831280900
13c664378c59
1465b55a4b04
1536ab57d469
hex1edc53f510

132545508624 has 105 divisors (see below), whose sum is σ = 385148501479. Its totient is φ = 44168729760.

The previous prime is 132545508611. The next prime is 132545508629. The reversal of 132545508624 is 426805545231.

The square root of 132545508624 is 364068.

It is a perfect power (a square), and thus also a powerful number.

132545508624 is a `hidden beast` number, since 1 + 3 + 2 + 545 + 5 + 0 + 86 + 24 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132545508624.

It is not an unprimeable number, because it can be changed into a prime (132545508629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 39317659 + ... + 39321029.

Almost surely, 2132545508624 is an apocalyptic number.

132545508624 is the 364068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132545508624

132545508624 is an abundant number, since it is smaller than the sum of its proper divisors (252602992855).

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

132545508624 is an frugal number, since it uses more digits than its factorization.

132545508624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 132545508624 in words is "one hundred thirty-two billion, five hundred forty-five million, five hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3371 3888 5832 6742 10113 11664 13484 20226 26968 30339 40452 53936 60678 80904 91017 121356 161808 182034 242712 273051 364068 485424 546102 728136 819153 1092204 1456272 1638306 2184408 2457459 3276612 4368816 4914918 6553224 9829836 11363641 13106448 19659672 22727282 34090923 39319344 45454564 68181846 90909128 102272769 136363692 181818256 204545538 272727384 306818307 409091076 545454768 613636614 818182152 920454921 1227273228 1636364304 1840909842 2454546456 2761364763 3681819684 4909092912 5522729526 7363639368 8284094289 11045459052 14727278736 16568188578 22090918104 33136377156 44181836208 66272754312 132545508624