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4138818504 = 2331797104579
BaseRepresentation
bin1111011010110001…
…0101101111001000
3101200102220202122020
43312230111233020
531434014143004
61522405124440
7204364243152
oct36654255710
911612822566
104138818504
111834289667
129760b9720
1350c607042
142b396bad2
151935468d9
hexf6b15bc8

4138818504 has 64 divisors (see below), whose sum is σ = 11068747200. Its totient is φ = 1285054464.

The previous prime is 4138818493. The next prime is 4138818533. The reversal of 4138818504 is 4058188314.

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, 12714 + ... + 91865.

It is an arithmetic number, because the mean of its divisors is an integer number (172949175).

Almost surely, 24138818504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138818504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534373600).

4138818504 is an abundant number, since it is smaller than the sum of its proper divisors (6929928696).

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

4138818504 is a wasteful number, since it uses less digits than its factorization.

4138818504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104702 (or 104698 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 4138818504 is about 64333.6498575979. The cubic root of 4138818504 is about 1605.5560104272.

The spelling of 4138818504 in words is "four billion, one hundred thirty-eight million, eight hundred eighteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 291 388 408 582 776 1164 1649 2328 3298 4947 6596 9894 13192 19788 39576 104579 209158 313737 418316 627474 836632 1254948 1777843 2509896 3555686 5333529 7111372 10144163 10667058 14222744 20288326 21334116 30432489 40576652 42668232 60864978 81153304 121729956 172450771 243459912 344901542 517352313 689803084 1034704626 1379606168 2069409252 4138818504