Search a number
-
+
793642936506 = 237171111544729
BaseRepresentation
bin10111000110010001100…
…11100010100010111010
32210212112100012110021120
423203020303202202322
5101000340042432011
61404332230250110
7111224132440140
oct13431063424272
92725470173246
10793642936506
11286644824912
121099914b6936
1359abcc23644
142a5abd6b590
15159a0177a06
hexb8c8ce28ba

793642936506 has 32 divisors (see below), whose sum is σ = 1920749293440. Its totient is φ = 213416587776.

The previous prime is 793642936477. The next prime is 793642936517. The reversal of 793642936506 is 605639246397.

It is a super-2 number, since 2×7936429365062 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 793642936506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555771651 + ... + 555773078.

It is an arithmetic number, because the mean of its divisors is an integer number (60023415420).

Almost surely, 2793642936506 is an apocalyptic number.

793642936506 is an abundant number, since it is smaller than the sum of its proper divisors (1127106356934).

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

793642936506 is a wasteful number, since it uses less digits than its factorization.

793642936506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111544758.

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 793642936506 in words is "seven hundred ninety-three billion, six hundred forty-two million, nine hundred thirty-six thousand, five hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1111544729 2223089458 3334634187 6669268374 7780813103 15561626206 18896260393 23342439309 37792520786 46684878618 56688781179 113377562358 132273822751 264547645502 396821468253 793642936506