Search a number
-
+
39678196032 = 263412016373
BaseRepresentation
bin100100111101000000…
…010011100101000000
310210102020112012110000
4210331000103211000
51122230104233112
630121121240000
72603156046546
oct447500234500
9123366465400
1039678196032
1115911341a52
127834193000
1339844bc207
141cc595dd96
15107361c7dc
hex93d013940

39678196032 has 140 divisors (see below), whose sum is σ = 117735008116. Its totient is φ = 13212979200.

The previous prime is 39678196031. The next prime is 39678196037. The reversal of 39678196032 is 23069187693.

It can be written as a sum of positive squares in 2 ways, for example, as 12326328576 + 27351867456 = 111024^2 + 165384^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 39678196032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39678196031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6222798 + ... + 6229170.

Almost surely, 239678196032 is an apocalyptic number.

39678196032 is a gapful number since it is divisible by the number (32) 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 39678196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867504058).

39678196032 is an abundant number, since it is smaller than the sum of its proper divisors (78056812084).

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

39678196032 is a wasteful number, since it uses less digits than its factorization.

39678196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 39678196032 in words is "thirty-nine billion, six hundred seventy-eight million, one hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1201 1296 1728 2402 2592 3603 4804 5184 6373 7206 9608 10809 12746 14412 19119 19216 21618 25492 28824 32427 38238 38432 43236 50984 57357 57648 64854 76476 76864 86472 97281 101968 114714 115296 129708 152952 172071 172944 194562 203936 229428 230592 259416 305904 344142 345888 389124 407872 458856 516213 518832 611808 688284 691776 778248 917712 1032426 1037664 1223616 1376568 1556496 1835424 2064852 2075328 2753136 3112992 3670848 4129704 5506272 6225984 7653973 8259408 11012544 15307946 16518816 22961919 30615892 33037632 45923838 61231784 68885757 91847676 122463568 137771514 183695352 206657271 244927136 275543028 367390704 413314542 489854272 551086056 619971813 734781408 826629084 1102172112 1239943626 1469562816 1653258168 2204344224 2479887252 3306516336 4408688448 4959774504 6613032672 9919549008 13226065344 19839098016 39678196032