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3139656288 = 253173835023
BaseRepresentation
bin1011101100100011…
…0101101001100000
322002210211001202020
42323020311221200
522412223000123
61235313421440
7140542431606
oct27310655140
98083731666
103139656288
11137128826a
1273756a880
133b06012b2
1421ad9b876
1513597d7e3
hexbb235a60

3139656288 has 96 divisors (see below), whose sum is σ = 8750923776. Its totient is φ = 982222848.

The previous prime is 3139656287. The next prime is 3139656313. The reversal of 3139656288 is 8826569313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3139656288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3139656287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622545 + ... + 627567.

It is an arithmetic number, because the mean of its divisors is an integer number (91155456).

Almost surely, 23139656288 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 3139656288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375461888).

3139656288 is an abundant number, since it is smaller than the sum of its proper divisors (5611267488).

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

3139656288 is a wasteful number, since it uses less digits than its factorization.

3139656288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5428 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 3139656288 is about 56032.6359187215. The cubic root of 3139656288 is about 1464.2909183278.

The spelling of 3139656288 in words is "three billion, one hundred thirty-nine million, six hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 383 408 544 766 816 1149 1532 1632 2298 3064 4596 5023 6128 6511 9192 10046 12256 13022 15069 18384 19533 20092 26044 30138 36768 39066 40184 52088 60276 78132 80368 85391 104176 120552 156264 160736 170782 208352 241104 256173 312528 341564 482208 512346 625056 683128 1024692 1366256 1923809 2049384 2732512 3847618 4098768 5771427 7695236 8197536 11542854 15390472 23085708 30780944 32704753 46171416 61561888 65409506 92342832 98114259 130819012 184685664 196228518 261638024 392457036 523276048 784914072 1046552096 1569828144 3139656288