Search a number
-
+
6841631136 = 253233930469
BaseRepresentation
bin1100101111100101…
…10000000110100000
3122122210201212112210
412113302300012200
5103002424144021
63050515522120
7331353622314
oct62762600640
918583655483
106841631136
1129a0a1680a
1213ab2b9340
13850566a62
1448c8d3b44
152a0984e76
hex197cb01a0

6841631136 has 48 divisors (see below), whose sum is σ = 17967549600. Its totient is φ = 2279493888.

The previous prime is 6841631123. The next prime is 6841631179. The reversal of 6841631136 is 6311361486.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6841631094 and 6841631103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209310 + ... + 239778.

It is an arithmetic number, because the mean of its divisors is an integer number (374323950).

Almost surely, 26841631136 is an apocalyptic number.

It is an amenable number.

6841631136 is an abundant number, since it is smaller than the sum of its proper divisors (11125918464).

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

6841631136 is a wasteful number, since it uses less digits than its factorization.

6841631136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32821 (or 32813 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 6841631136 is about 82714.1531782802. The cubic root of 6841631136 is about 1898.3948711390.

The spelling of 6841631136 in words is "six billion, eight hundred forty-one million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2339 4678 7017 9356 14034 18712 28068 30469 37424 56136 60938 74848 91407 112272 121876 182814 224544 243752 365628 487504 731256 975008 1462512 2925024 71266991 142533982 213800973 285067964 427601946 570135928 855203892 1140271856 1710407784 2280543712 3420815568 6841631136