Search a number
-
+
6933152143104 = 28311820685623
BaseRepresentation
bin110010011100100000000…
…0100100001011100000000
3220112210200021220222221120
41210321000010201130000
51402043043422034404
622425013543552240
71313621654600145
oct144710004413400
926483607828846
106933152143104
112233373702020
1293b83675b680
133b3a41264a15
1419d7d010c3cc
15c0531bd69d9
hex64e40121700

6933152143104 has 72 divisors (see below), whose sum is σ = 20129776985472. Its totient is φ = 2100955192320.

The previous prime is 6933152143063. The next prime is 6933152143207. The reversal of 6933152143104 is 4013412513396.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410334364 + ... + 410351259.

Almost surely, 26933152143104 is an apocalyptic number.

6933152143104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6933152143104 is an abundant number, since it is smaller than the sum of its proper divisors (13196624842368).

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

6933152143104 is a wasteful number, since it uses less digits than its factorization.

6933152143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820685653 (or 820685639 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 6933152143104 in words is "six trillion, nine hundred thirty-three billion, one hundred fifty-two million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 820685623 1641371246 2462056869 3282742492 4924113738 6565484984 9027541853 9848227476 13130969968 18055083706 19696454952 26261939936 27082625559 36110167412 39392909904 52523879872 54165251118 72220334824 78785819808 105047759744 108330502236 144440669648 157571639616 210095519488 216661004472 288881339296 315143279232 433322008944 577762678592 630286558464 866644017888 1155525357184 1733288035776 2311050714368 3466576071552 6933152143104