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65728582380 = 22345109137189
BaseRepresentation
bin111101001101101110…
…101001001011101100
320021122201220221110000
4331031232221023230
52034103004114010
650110103344300
74514546506026
oct751556511354
9207581827400
1065728582380
112596a08686a
12108a4452090
136276524ac6
14327760d016
151a9a6257c0
hexf4dba92ec

65728582380 has 120 divisors (see below), whose sum is σ = 206387541360. Its totient is φ = 17511085440.

The previous prime is 65728582363. The next prime is 65728582393. The reversal of 65728582380 is 8328582756.

65728582380 is a `hidden beast` number, since 6 + 5 + 7 + 28 + 582 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1748826 + ... + 1786014.

It is an arithmetic number, because the mean of its divisors is an integer number (1719896178).

Almost surely, 265728582380 is an apocalyptic number.

65728582380 is a gapful number since it is divisible by the number (60) 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 65728582380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103193770680).

65728582380 is an abundant number, since it is smaller than the sum of its proper divisors (140658958980).

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

65728582380 is a wasteful number, since it uses less digits than its factorization.

65728582380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38301 (or 38290 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 65728582380 in words is "sixty-five billion, seven hundred twenty-eight million, five hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1091 1620 2182 3273 4364 5455 6546 9819 10910 13092 16365 19638 21820 29457 32730 37189 39276 49095 58914 65460 74378 88371 98190 111567 117828 147285 148756 176742 185945 196380 223134 294570 334701 353484 371890 441855 446268 557835 589140 669402 743780 883710 1004103 1115670 1338804 1673505 1767420 2008206 2231340 3012309 3347010 4016412 5020515 6024618 6694020 10041030 12049236 15061545 20082060 30123090 40573199 60246180 81146398 121719597 162292796 202865995 243439194 365158791 405731990 486878388 608597985 730317582 811463980 1095476373 1217195970 1460635164 1825793955 2190952746 2434391940 3286429119 3651587910 4381905492 5477381865 6572858238 7303175820 10954763730 13145716476 16432145595 21909527460 32864291190 65728582380