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103411726264 = 23711443378953
BaseRepresentation
bin110000001001111010…
…0011011011110111000
3100212220221101222211201
41200103310123132320
53143241400220024
6115301240103544
710320432112210
oct1402364333670
9325827358751
10103411726264
113a947250590
1218060464bb4
1399a05aca92
145010201240
152a53a0b744
hex1813d1b7b8

103411726264 has 64 divisors (see below), whose sum is σ = 242288029440. Its totient is φ = 40199228160.

The previous prime is 103411726237. The next prime is 103411726283. The reversal of 103411726264 is 462627114301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83412 + ... + 462364.

It is an arithmetic number, because the mean of its divisors is an integer number (3785750460).

Almost surely, 2103411726264 is an apocalyptic number.

103411726264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103411726264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121144014720).

103411726264 is an abundant number, since it is smaller than the sum of its proper divisors (138876303176).

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

103411726264 is a wasteful number, since it uses less digits than its factorization.

103411726264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379420 (or 379416 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 103411726264 in words is "one hundred three billion, four hundred eleven million, seven hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 443 616 886 1772 3101 3544 4873 6202 9746 12404 19492 24808 34111 38984 68222 136444 272888 378953 757906 1515812 2652671 3031624 4168483 5305342 8336966 10610684 16673932 21221368 29179381 33347864 58358762 116717524 167876179 233435048 335752358 671504716 1175133253 1343009432 1846637969 2350266506 3693275938 4700533012 7386551876 9401066024 12926465783 14773103752 25852931566 51705863132 103411726264