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8138672004 = 22317389102559
BaseRepresentation
bin1111001010001101…
…00100011110000100
3210000012100101010110
413211012210132010
5113132000001004
63423331553020
7405453366501
oct74506443604
923005311113
108138672004
1134a7082811
1216b175b770
139c91a6b68
14572c844a8
1532978d589
hex1e51a4784

8138672004 has 48 divisors (see below), whose sum is σ = 20159193600. Its totient is φ = 2546720256.

The previous prime is 8138671967. The next prime is 8138672041. The reversal of 8138672004 is 4002768318.

It is an interprime number because it is at equal distance from previous prime (8138671967) and next prime (8138672041).

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, 28077 + ... + 130635.

It is an arithmetic number, because the mean of its divisors is an integer number (419983200).

Almost surely, 28138672004 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 8138672004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079596800).

8138672004 is an abundant number, since it is smaller than the sum of its proper divisors (12020521596).

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

8138672004 is a wasteful number, since it uses less digits than its factorization.

8138672004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102972 (or 102970 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8138672004 is about 90214.5886428575. The cubic root of 8138672004 is about 2011.4898654248.

The spelling of 8138672004 in words is "eight billion, one hundred thirty-eight million, six hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 389 778 1167 1556 2334 4668 6613 13226 19839 26452 39678 79356 102559 205118 307677 410236 615354 1230708 1743503 3487006 5230509 6974012 10461018 20922036 39895451 79790902 119686353 159581804 239372706 478745412 678222667 1356445334 2034668001 2712890668 4069336002 8138672004