Search a number
-
+
38099747079340 = 225233971097190181
BaseRepresentation
bin10001010100110110010011…
…11001000000010010101100
311222220022002212210210200021
420222123021321000102230
514443211240223014330
6213010440541211524
711011421151526102
oct1052331171002254
9158808085723607
1038099747079340
111115a014a71351
124333ba0260ba4
131834a38319c3b
1495a07524dc72
154610ddb6967a
hex22a6c9e404ac

38099747079340 has 96 divisors (see below), whose sum is σ = 83775177085824. Its totient is φ = 14527244666880.

The previous prime is 38099747079253. The next prime is 38099747079389. The reversal of 38099747079340 is 4397074799083.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38099747079340.

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 31 ways as a sum of consecutive naturals, for example, 200239050 + ... + 200429230.

It is an arithmetic number, because the mean of its divisors is an integer number (872658094644).

Almost surely, 238099747079340 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 38099747079340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41887588542912).

38099747079340 is an abundant number, since it is smaller than the sum of its proper divisors (45675430006484).

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

38099747079340 is a wasteful number, since it uses less digits than its factorization.

38099747079340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191707 (or 191705 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 70.

The spelling of 38099747079340 in words is "thirty-eight trillion, ninety-nine billion, seven hundred forty-seven million, seventy-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 397 460 794 1097 1588 1985 2194 3970 4388 5485 7940 9131 10970 18262 21940 25231 36524 45655 50462 91310 100924 126155 182620 190181 252310 380362 435509 504620 760724 871018 950905 1742036 1901810 2177545 3803620 4355090 4374163 8710180 8748326 10016707 17496652 20033414 21870815 40066828 43741630 50083535 75501857 87483260 100167070 151003714 200334140 208628557 302007428 377509285 417257114 755018570 834514228 1043142785 1510037140 1736542711 2086285570 3473085422 4172571140 4798456811 6946170844 8682713555 9596913622 17365427110 19193827244 23992284055 34730854220 47984568110 82825537129 95969136220 165651074258 331302148516 414127685645 828255371290 1656510742580 1904987353967 3809974707934 7619949415868 9524936769835 19049873539670 38099747079340