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42404666004 = 22321177907389
BaseRepresentation
bin100111011111100000…
…111101101010010100
311001110020212020010100
4213133200331222110
51143321043303004
631251435054100
73030553466601
oct473740755224
9131406766110
1042404666004
1116a90368218
1282752a1330
133cca312c5c
1420a3ac36a8
151182b80739
hex9df83da94

42404666004 has 18 divisors (see below), whose sum is σ = 107189572490. Its totient is φ = 14134888656.

The previous prime is 42404665993. The next prime is 42404666047. The reversal of 42404666004 is 40066640424.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40541017104 + 1863648900 = 201348^2 + 43170^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1177907389 = 42404666004 / (4 + 2 + 4 + 0 + 4 + 6 + 6 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 42404666004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588953659 + ... + 588953730.

Almost surely, 242404666004 is an apocalyptic number.

It is an amenable number.

42404666004 is an abundant number, since it is smaller than the sum of its proper divisors (64784906486).

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

42404666004 is a wasteful number, since it uses less digits than its factorization.

42404666004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177907399 (or 1177907394 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42404666004 in words is "forty-two billion, four hundred four million, six hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1177907389 2355814778 3533722167 4711629556 7067444334 10601166501 14134888668 21202333002 42404666004