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3135722868 = 223436726371
BaseRepresentation
bin1011101011100111…
…0101010101110100
322002112102020010000
42322321311111310
522410221112433
61235053231300
7140464130115
oct27271652564
98075366100
103135722868
11136a041003
12736192530
133ac854b25
1421a65620c
15135453113
hexbae75574

3135722868 has 60 divisors (see below), whose sum is σ = 8220046912. Its totient is φ = 1042353360.

The previous prime is 3135722857. The next prime is 3135722869. The reversal of 3135722868 is 8682275313.

3135722868 is a `hidden beast` number, since 3 + 13 + 572 + 2 + 8 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135722869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105723 + ... + 132093.

Almost surely, 23135722868 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 3135722868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110023456).

3135722868 is an abundant number, since it is smaller than the sum of its proper divisors (5084324044).

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

3135722868 is a wasteful number, since it uses less digits than its factorization.

3135722868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26743 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3135722868 is about 55997.5255524742. The cubic root of 3135722868 is about 1463.6791657871.

The spelling of 3135722868 in words is "three billion, one hundred thirty-five million, seven hundred twenty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 367 734 1101 1468 2202 3303 4404 6606 9909 13212 19818 26371 29727 39636 52742 59454 79113 105484 118908 158226 237339 316452 474678 712017 949356 1424034 2136051 2848068 4272102 8544204 9678157 19356314 29034471 38712628 58068942 87103413 116137884 174206826 261310239 348413652 522620478 783930717 1045240956 1567861434 3135722868