Search a number
-
+
132923764368 = 243563154181
BaseRepresentation
bin111101111001011011…
…1111010111010010000
3110201002200111212100000
41323302313322322100
54134211440424433
6141021521330000
712413655232503
oct1736267727220
9421080455300
10132923764368
1151410aaa61a
1221917a96900
13c6c4846215
14660d90913a
1536ce899113
hex1ef2dfae90

132923764368 has 120 divisors (see below), whose sum is σ = 386398282816. Its totient is φ = 44236886400.

The previous prime is 132923764367. The next prime is 132923764373. The reversal of 132923764368 is 863467329231.

132923764368 is a `hidden beast` number, since 132 + 9 + 2 + 3 + 76 + 436 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132923764361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2426238 + ... + 2480418.

Almost surely, 2132923764368 is an apocalyptic number.

132923764368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132923764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193199141408).

132923764368 is an abundant number, since it is smaller than the sum of its proper divisors (253474518448).

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

132923764368 is an equidigital number, since it uses as much as digits as its factorization.

132923764368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54835 (or 54817 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 132923764368 in words is "one hundred thirty-two billion, nine hundred twenty-three million, seven hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 631 648 972 1262 1296 1893 1944 2524 3786 3888 5048 5679 7572 10096 11358 15144 17037 22716 30288 34074 45432 51111 54181 68148 90864 102222 108362 136296 153333 162543 204444 216724 272592 306666 325086 408888 433448 487629 613332 650172 817776 866896 975258 1226664 1300344 1462887 1950516 2453328 2600688 2925774 3901032 4388661 5851548 7802064 8777322 11703096 13165983 17554644 23406192 26331966 34188211 35109288 52663932 68376422 70218576 102564633 105327864 136752844 205129266 210655728 273505688 307693899 410258532 547011376 615387798 820517064 923081697 1230775596 1641034128 1846163394 2461551192 2769245091 3692326788 4923102384 5538490182 7384653576 8307735273 11076980364 14769307152 16615470546 22153960728 33230941092 44307921456 66461882184 132923764368