Search a number
-
+
6401621004 = 2232331637333
BaseRepresentation
bin1011111011001000…
…01111110000001100
3121112010210001010020
411331210033300030
5101102303333004
62535120542140
7314431611042
oct57544176014
917463701106
106401621004
112795603679
1212a7a81950
137b035712c
1444a2b6392
1527701b8d9
hex17d90fc0c

6401621004 has 48 divisors (see below), whose sum is σ = 15593609472. Its totient is φ = 2040172992.

The previous prime is 6401620949. The next prime is 6401621071. The reversal of 6401621004 is 4001261046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869322 + ... + 876654.

It is an arithmetic number, because the mean of its divisors is an integer number (324866864).

Almost surely, 26401621004 is an apocalyptic number.

It is an amenable number.

6401621004 is an abundant number, since it is smaller than the sum of its proper divisors (9191988468).

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

6401621004 is a wasteful number, since it uses less digits than its factorization.

6401621004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6401621004 is about 80010.1306335641. The cubic root of 6401621004 is about 1856.7922709226.

The spelling of 6401621004 in words is "six billion, four hundred one million, six hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 3163 6326 7333 9489 12652 14666 18978 21999 29332 37956 43998 72749 87996 145498 168659 218247 290996 337318 436494 505977 674636 872988 1011954 2023908 23194279 46388558 69582837 92777116 139165674 278331348 533468417 1066936834 1600405251 2133873668 3200810502 6401621004