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6797307972 = 2237137187671
BaseRepresentation
bin1100101010010011…
…01011000001000100
3122112201100000121010
412111021223001010
5102410102323342
63042253522220
7330305110260
oct62511530104
918481300533
106797307972
1129789a30a4
1213984a3370
13844318530
14486a770a0
1529bb2c29c
hex19526b044

6797307972 has 96 divisors (see below), whose sum is σ = 19795636224. Its totient is φ = 1767427200.

The previous prime is 6797307971. The next prime is 6797307973. The reversal of 6797307972 is 2797037976.

It is an interprime number because it is at equal distance from previous prime (6797307971) and next prime (6797307973).

It is not an unprimeable number, because it can be changed into a prime (6797307971) 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 31 ways as a sum of consecutive naturals, for example, 33697 + ... + 121367.

It is an arithmetic number, because the mean of its divisors is an integer number (206204544).

Almost surely, 26797307972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6797307972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897818112).

6797307972 is an abundant number, since it is smaller than the sum of its proper divisors (12998328252).

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

6797307972 is a wasteful number, since it uses less digits than its factorization.

6797307972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87769 (or 87767 counting only the distinct ones).

The product of its (nonzero) digits is 7001316, while the sum is 57.

The square root of 6797307972 is about 82445.7880791978. The cubic root of 6797307972 is about 1894.2864342537.

The spelling of 6797307972 in words is "six billion, seven hundred ninety-seven million, three hundred seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 852 923 994 1092 1491 1846 1988 2769 2982 3692 5538 5964 6461 11076 12922 19383 25844 38766 77532 87671 175342 263013 350684 526026 613697 1052052 1139723 1227394 1841091 2279446 2454788 3419169 3682182 4558892 6224641 6838338 7364364 7978061 12449282 13676676 15956122 18673923 23934183 24898564 31912244 37347846 43572487 47868366 74695692 80920333 87144974 95736732 130717461 161840666 174289948 242760999 261434922 323681332 485521998 522869844 566442331 971043996 1132884662 1699326993 2265769324 3398653986 6797307972