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58189765840 = 2457311388177
BaseRepresentation
bin110110001100011000…
…010101110011010000
312120012100022101022121
4312030120111303100
51423133040001330
642422040344024
74126665564043
oct661430256320
9176170271277
1058189765840
1122750673378
12b33b775014
1356446c5b0b
142b602b4c5a
1517a887717a
hexd8c615cd0

58189765840 has 80 divisors (see below), whose sum is σ = 138359747088. Its totient is φ = 22753640448.

The previous prime is 58189765819. The next prime is 58189765841. The reversal of 58189765840 is 4856798185.

It can be written as a sum of positive squares in 8 ways, for example, as 5070579264 + 53119186576 = 71208^2 + 230476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58189765841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615832 + ... + 704008.

Almost surely, 258189765840 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 58189765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69179873544).

58189765840 is an abundant number, since it is smaller than the sum of its proper divisors (80169981248).

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

58189765840 is a wasteful number, since it uses less digits than its factorization.

58189765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88376 (or 88370 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 58189765840 in words is "fifty-eight billion, one hundred eighty-nine million, seven hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 113 146 226 292 365 452 565 584 730 904 1130 1168 1460 1808 2260 2920 4520 5840 8249 9040 16498 32996 41245 65992 82490 88177 131984 164980 176354 329960 352708 440885 659920 705416 881770 1410832 1763540 3527080 6436921 7054160 9964001 12873842 19928002 25747684 32184605 39856004 49820005 51495368 64369210 79712008 99640010 102990736 128738420 159424016 199280020 257476840 398560040 514953680 727372073 797120080 1454744146 2909488292 3636860365 5818976584 7273720730 11637953168 14547441460 29094882920 58189765840