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6412033004 = 22131771102161
BaseRepresentation
bin1011111100010111…
…11101101111101100
3121112212101000200212
411332023331233230
5101112440024004
62540132041552
7314616244526
oct57613755754
917485330625
106412033004
1127a0475333
1212ab4632b8
137b2561390
1444b826a16
15277dc696e
hex17e2fdbec

6412033004 has 48 divisors (see below), whose sum is σ = 12975391296. Its totient is φ = 2746060800.

The previous prime is 6412032959. The next prime is 6412033013. The reversal of 6412033004 is 4003302146.

It is a happy number.

It is a super-2 number, since 2×64120330042 = 82228334488770528032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11684 + ... + 113844.

It is an arithmetic number, because the mean of its divisors is an integer number (270320652).

Almost surely, 26412033004 is an apocalyptic number.

It is an amenable number.

6412033004 is an abundant number, since it is smaller than the sum of its proper divisors (6563358292).

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

6412033004 is a wasteful number, since it uses less digits than its factorization.

6412033004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102266 (or 102264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 6412033004 is about 80075.1709582939. The cubic root of 6412033004 is about 1857.7983936503.

The spelling of 6412033004 in words is "six billion, four hundred twelve million, thirty-three thousand, four".

Divisors: 1 2 4 13 17 26 34 52 68 71 142 221 284 442 884 923 1207 1846 2414 3692 4828 15691 31382 62764 102161 204322 408644 1328093 1736737 2656186 3473474 5312372 6946948 7253431 14506862 22577581 29013724 45155162 90310324 94294603 123308327 188589206 246616654 377178412 493233308 1603008251 3206016502 6412033004