Search a number
-
+
132945455924736 = 293713951132211
BaseRepresentation
bin11110001110100111000110…
…101011001100011000000000
3122102201110110101222110012020
4132032213012223030120000
5114411134243204042421
61150430144352401440
740000664222032140
oct3616470653143000
9572643411873166
10132945455924736
11393a693aa96954
1212ab1878246280
135924919aa9130
1424b8847064920
15105833a54edc6
hex78e9c6acc600

132945455924736 has 160 divisors (see below), whose sum is σ = 435907697288448. Its totient is φ = 35062537789440.

The previous prime is 132945455924731. The next prime is 132945455924761. The reversal of 132945455924736 is 637429554549231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132945455924731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475426330 + ... + 475705881.

Almost surely, 2132945455924736 is an apocalyptic number.

132945455924736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132945455924736 is an abundant number, since it is smaller than the sum of its proper divisors (302962241363712).

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

132945455924736 is an equidigital number, since it uses as much as digits as its factorization.

132945455924736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951132252 (or 951132236 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 69.

The spelling of 132945455924736 in words is "one hundred thirty-two trillion, nine hundred forty-five billion, four hundred fifty-five million, nine hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 17472 19968 23296 34944 46592 69888 139776 951132211 1902264422 2853396633 3804528844 5706793266 6657925477 7609057688 11413586532 12364718743 13315850954 15218115376 19973776431 22827173064 24729437486 26631701908 30436230752 37094156229 39947552862 45654346128 49458874972 53263403816 60872461504 74188312458 79895105724 86553031201 91308692256 98917749944 106526807632 121744923008 148376624916 159790211448 173106062402 182617384512 197835499888 213053615264 243489846016 259659093603 296753249832 319580422896 346212124804 365234769024 395670999776 426107230528 486979692032 519318187206 593506499664 639160845792 692424249608 730469538048 791341999552 852214461056 1038636374412 1187012999328 1278321691584 1384848499216 1460939076096 1582683999104 1704428922112 2077272748824 2374025998656 2556643383168 2769696998432 3165367998208 3408857844224 4154545497648 4748051997312 5113286766336 5539393996864 6330735996416 8309090995296 9496103994624 10226573532672 11078787993728 16618181990592 18992207989248 22157575987456 33236363981184 44315151974912 66472727962368 132945455924736