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3901468116 = 2237136835231
BaseRepresentation
bin1110100010001011…
…1010110111010100
3101001220022010010010
43220202322313110
530442233434431
61443050000220
7165452634420
oct35042726724
911056263103
103901468116
111722305817
1290a716070
134a23a3220
14290225b80
1517c7b0846
hexe88badd4

3901468116 has 96 divisors (see below), whose sum is σ = 11222765568. Its totient is φ = 1027255680.

The previous prime is 3901468099. The next prime is 3901468117. The reversal of 3901468116 is 6118641093.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901468117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743221 + ... + 748451.

It is an arithmetic number, because the mean of its divisors is an integer number (116903808).

Almost surely, 23901468116 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 3901468116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611382784).

3901468116 is an abundant number, since it is smaller than the sum of its proper divisors (7321297452).

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

3901468116 is a wasteful number, since it uses less digits than its factorization.

3901468116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3901468116 is about 62461.7332132242. The cubic root of 3901468116 is about 1574.2584050165.

The spelling of 3901468116 in words is "three billion, nine hundred one million, four hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 683 1092 1366 2049 2732 4098 4781 5231 8196 8879 9562 10462 14343 15693 17758 19124 20924 26637 28686 31386 35516 36617 53274 57372 62153 62772 68003 73234 106548 109851 124306 136006 146468 186459 204009 219702 248612 272012 372918 408018 439404 476021 745836 816036 952042 1428063 1904084 2856126 3572773 5712252 7145546 10718319 14291092 21436638 25009411 42873276 46446049 50018822 75028233 92892098 100037644 139338147 150056466 185784196 278676294 300112932 325122343 557352588 650244686 975367029 1300489372 1950734058 3901468116