Search a number
-
+
3691351087864 = 2311231316338891
BaseRepresentation
bin110101101101110101101…
…010111001101011111000
3111001220000121022102011221
4311231311222321223320
5440434341334302424
611503441104401424
7530456056354246
oct65556552715370
914056017272157
103691351087864
1111a3547501700
124b74aa016274
1320a129193c4b
14ca93b697796
15660493709e4
hex35b75ab9af8

3691351087864 has 96 divisors (see below), whose sum is σ = 7855785745920. Its totient is φ = 1623206376000.

The previous prime is 3691351087847. The next prime is 3691351087867. The reversal of 3691351087864 is 4687801531963.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3691351087867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94895859 + ... + 94934749.

It is an arithmetic number, because the mean of its divisors is an integer number (81831101520).

Almost surely, 23691351087864 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 3691351087864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927892872960).

3691351087864 is an abundant number, since it is smaller than the sum of its proper divisors (4164434658056).

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

3691351087864 is a wasteful number, since it uses less digits than its factorization.

3691351087864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42113 (or 42098 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 3691351087864 in words is "three trillion, six hundred ninety-one billion, three hundred fifty-one million, eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3163 3751 6326 7502 12652 15004 25304 30008 34793 38891 69586 77782 98053 139172 155564 196106 278344 311128 382723 392212 427801 765446 784424 855602 1078583 1205621 1530892 1711204 2157166 2411242 3061784 3422408 4314332 4705811 4822484 8628664 9411622 9644968 11864413 13261831 18823244 23728826 26523662 37646488 47457652 53047324 94915304 106094648 123012233 145880141 246024466 291760282 492048932 583520564 984097864 1167041128 1353134563 2706269126 3813379223 5412538252 7626758446 10825076504 14884480193 15253516892 29768960386 30507033784 41947171453 59537920772 83894342906 119075841544 167788685812 335577371624 461418885983 922837771966 1845675543932 3691351087864