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132319764864 = 273471823189
BaseRepresentation
bin111101100111011011…
…1110110000110000000
3110122112120222111210000
41323032313312012000
54131442324433424
6140441543440000
712363002305140
oct1731667660600
9418476874700
10132319764864
115113106a881
1221789756000
13c62967a071
146593600920
15369683b3c9
hex1ecedf6180

132319764864 has 160 divisors (see below), whose sum is σ = 450036219600. Its totient is φ = 37805626368.

The previous prime is 132319764847. The next prime is 132319764893. The reversal of 132319764864 is 468467913231.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 132319764864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 839019 + ... + 984170.

Almost surely, 2132319764864 is an apocalyptic number.

132319764864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132319764864 is an abundant number, since it is smaller than the sum of its proper divisors (317716454736).

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

132319764864 is an equidigital number, since it uses as much as digits as its factorization.

132319764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823222 (or 1823201 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 132319764864 in words is "one hundred thirty-two billion, three hundred nineteen million, seven hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 1823189 3646378 5469567 7292756 10939134 12762323 14585512 16408701 21878268 25524646 29171024 32817402 38286969 43756536 49226103 51049292 58342048 65634804 76573938 87513072 98452206 102098584 114860907 116684096 131269608 147678309 153147876 175026144 196904412 204197168 229721814 233368192 262539216 295356618 306295752 344582721 350052288 393808824 408394336 459443628 525078432 590713236 612591504 689165442 700104576 787617648 816788672 918887256 1033748163 1050156864 1181426472 1225183008 1378330884 1575235296 1633577344 1837774512 2067496326 2100313728 2362852944 2450366016 2756661768 3150470592 3675549024 4134992652 4725705888 4900732032 5513323536 6300941184 7351098048 8269985304 9451411776 11026647072 14702196096 16539970608 18902823552 22053294144 33079941216 44106588288 66159882432 132319764864