Search a number
-
+
6411427764 = 2237292631949
BaseRepresentation
bin1011111100010011…
…01001111110110100
3121112211020021110120
411332021221332310
5101112311142024
62540111051540
7314611144140
oct57611517664
917484207416
106411427764
1127a00a1635
1212ab210bb0
137b23aba51
1444b70a220
15277d07479
hex17e269fb4

6411427764 has 48 divisors (see below), whose sum is σ = 17686704000. Its totient is φ = 1768669056.

The previous prime is 6411427751. The next prime is 6411427801. The reversal of 6411427764 is 4677241146.

It is a super-2 number, since 2×64114277642 = 82212811945980079392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313539 + ... + 1318410.

It is an arithmetic number, because the mean of its divisors is an integer number (368473000).

Almost surely, 26411427764 is an apocalyptic number.

It is an amenable number.

6411427764 is an abundant number, since it is smaller than the sum of its proper divisors (11275276236).

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

6411427764 is a wasteful number, since it uses less digits than its factorization.

6411427764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631992 (or 2631990 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 6411427764 is about 80071.3916701839. The cubic root of 6411427764 is about 1857.7399384885.

The spelling of 6411427764 in words is "six billion, four hundred eleven million, four hundred twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 2631949 5263898 7895847 10527796 15791694 18423643 31583388 36847286 55270929 73694572 76326521 110541858 152653042 221083716 228979563 305306084 457959126 534285647 915918252 1068571294 1602856941 2137142588 3205713882 6411427764