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6956442090 = 2325135945677
BaseRepresentation
bin1100111101010001…
…01110000111101010
3122221210202212120100
412132220232013222
5103221322121330
63110140410230
7334246532163
oct63650560752
918853685510
106956442090
112a4a8039a4
121421846976
1386b294b30
1449dc5c76a
152aaab3060
hex19ea2e1ea

6956442090 has 48 divisors (see below), whose sum is σ = 19478041128. Its totient is φ = 1712354688.

The previous prime is 6956442037. The next prime is 6956442107. The reversal of 6956442090 is 902446596.

6956442090 is a `hidden beast` number, since 69 + 564 + 4 + 20 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3414882969 + 3541559121 = 58437^2 + 59511^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2971669 + ... + 2974008.

Almost surely, 26956442090 is an apocalyptic number.

6956442090 is an abundant number, since it is smaller than the sum of its proper divisors (12521599038).

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

6956442090 is a wasteful number, since it uses less digits than its factorization.

6956442090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945703 (or 5945700 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6956442090 is about 83405.2881417000. The cubic root of 6956442090 is about 1908.9551488556.

The spelling of 6956442090 in words is "six billion, nine hundred fifty-six million, four hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 5945677 11891354 17837031 29728385 35674062 53511093 59456770 77293801 89185155 107022186 154587602 178370310 231881403 267555465 386469005 463762806 535110930 695644209 772938010 1159407015 1391288418 2318814030 3478221045 6956442090