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38344787130260 = 2251331019856391
BaseRepresentation
bin10001011011111110101110…
…11010100111011110010100
312000202201121010220010202202
420231333113122213132110
520011220111001132020
6213315204012024032
711035214366560652
oct1055772732473624
9160681533803682
1038344787130260
1111243a29763426
124373587762018
131851b89931000
14967c7d027dd2
154676812dde75
hex22dfd76a7794

38344787130260 has 96 divisors (see below), whose sum is σ = 87317043206400. Its totient is φ = 14144164644480.

The previous prime is 38344787130191. The next prime is 38344787130281. The reversal of 38344787130260 is 6203178744383.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38344787130196 and 38344787130205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44346665 + ... + 45203055.

It is an arithmetic number, because the mean of its divisors is an integer number (909552533400).

Almost surely, 238344787130260 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 38344787130260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43658521603200).

38344787130260 is an abundant number, since it is smaller than the sum of its proper divisors (48972256076140).

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

38344787130260 is a wasteful number, since it uses less digits than its factorization.

38344787130260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857458 (or 857430 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 38344787130260 in words is "thirty-eight trillion, three hundred forty-four billion, seven hundred eighty-seven million, one hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1019 1690 2038 2197 3380 4076 4394 5095 8788 10190 10985 13247 20380 21970 26494 43940 52988 66235 132470 172211 264940 344422 688844 856391 861055 1712782 1722110 2238743 3425564 3444220 4281955 4477486 8563910 8954972 11133083 11193715 17127820 22266166 22387430 44532332 44774860 55665415 111330830 144730079 222661660 289460158 578920316 723650395 872662429 1447300790 1745324858 1881491027 2894601580 3490649716 3762982054 4363312145 7525964108 8726624290 9407455135 11344611577 17453248580 18814910270 22689223154 37629820540 45378446308 56723057885 113446115770 147479950501 226892231540 294959901002 589919802004 737399752505 1474799505010 1917239356513 2949599010020 3834478713026 7668957426052 9586196782565 19172393565130 38344787130260