Search a number
-
+
13785503979 = 3131964328933
BaseRepresentation
bin11001101011010111…
…00001100011101011
31022120201212011100110
430311223201203223
5211213042111404
610155531105403
7665421564462
oct146553414353
938521764313
1013785503979
1159346151a5
1228088a2263
1313b904a760
1494abdd9d9
1555a3b3b89
hex335ae18eb

13785503979 has 32 divisors (see below), whose sum is σ = 20869515520. Its totient is φ = 8024116608.

The previous prime is 13785503971. The next prime is 13785503999. The reversal of 13785503979 is 97930558731.

It is not a de Polignac number, because 13785503979 - 23 = 13785503971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13785503971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 461997 + ... + 490929.

It is an arithmetic number, because the mean of its divisors is an integer number (652172360).

Almost surely, 213785503979 is an apocalyptic number.

13785503979 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13785503979 is a deficient number, since it is larger than the sum of its proper divisors (7084011541).

13785503979 is a wasteful number, since it uses less digits than its factorization.

13785503979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29611.

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 13785503979 in words is "thirteen billion, seven hundred eighty-five million, five hundred three thousand, nine hundred seventy-nine".

Divisors: 1 3 13 19 39 57 247 643 741 1929 8359 12217 25077 28933 36651 86799 158821 376129 476463 549727 1128387 1649181 7146451 18603919 21439353 55811757 241850947 353474461 725552841 1060423383 4595167993 13785503979