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57269276100 = 22345226592
BaseRepresentation
bin110101010101100000…
…111100110111000100
312110211012020122210000
4311111200330313010
51414241413313400
642150435201300
74065120546351
oct652540746704
9173735218700
1057269276100
1122319016853
12b123446230
135528aa712a
142ab3d43628
151752b4e600
hexd5583cdc4

57269276100 has 135 divisors (see below), whose sum is σ = 185714211837. Its totient is φ = 15266063520.

The previous prime is 57269276069. The next prime is 57269276107. The reversal of 57269276100 is 167296275.

The square root of 57269276100 is 239310.

It is a perfect power (a square), and thus also a powerful number.

57269276100 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 9 + 27 + 610 + 0 = 666.

57269276100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20616939396 + 36652336704 = 143586^2 + 191448^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57269276107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21536571 + ... + 21539229.

Almost surely, 257269276100 is an apocalyptic number.

57269276100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57269276100 is the 239310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57269276100

57269276100 is an abundant number, since it is smaller than the sum of its proper divisors (128444935737).

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

57269276100 is an equidigital number, since it uses as much as digits as its factorization.

57269276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 57269276100 in words is "fifty-seven billion, two hundred sixty-nine million, two hundred seventy-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2659 2700 4050 5318 7977 8100 10636 13295 15954 23931 26590 31908 39885 47862 53180 66475 71793 79770 95724 119655 132950 143586 159540 199425 215379 239310 265900 287172 358965 398850 430758 478620 598275 717930 797700 861516 1076895 1196550 1435860 1794825 2153790 2393100 3589650 4307580 5384475 7070281 7179300 10768950 14140562 21210843 21537900 28281124 35351405 42421686 63632529 70702810 84843372 106054215 127265058 141405620 176757025 190897587 212108430 254530116 318162645 353514050 381795174 424216860 530271075 572692761 636325290 707028100 763590348 954487935 1060542150 1145385522 1272650580 1590813225 1908975870 2121084300 2290771044 2863463805 3181626450 3817951740 4772439675 5726927610 6363252900 9544879350 11453855220 14317319025 19089758700 28634638050 57269276100