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2026992875625 = 32544124632
BaseRepresentation
bin11101011111110010001…
…100001011100001101001
321011210000121201000012100
4131133302030023201221
5231202240134010000
64151104312004013
7266305526106324
oct35376214134151
97153017630170
102026992875625
117117086a8863
12288a17990609
131191b591c223
147016d7997bb
1537ad7b06a00
hex1d7f230b869

2026992875625 has 135 divisors (see below), whose sum is σ = 3758206650627. Its totient is φ = 1052417520000.

The previous prime is 2026992875573. The next prime is 2026992875683. The reversal of 2026992875625 is 5265782996202.

The square root of 2026992875625 is 1423725.

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

2026992875625 is a `hidden beast` number, since 2 + 0 + 2 + 69 + 9 + 2 + 8 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2019090376809 + 7902498816 = 1420947^2 + 88896^2 .

It is not a de Polignac number, because 2026992875625 - 221 = 2026990778473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4377954144 + ... + 4377954606.

Almost surely, 22026992875625 is an apocalyptic number.

2026992875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2026992875625 is the 1423725-th square number.

2026992875625 is the 711863-rd centered octagonal number.

It is an amenable number.

2026992875625 is a deficient number, since it is larger than the sum of its proper divisors (1731213775002).

2026992875625 is an frugal number, since it uses more digits than its factorization.

2026992875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2026992875625 in words is "two trillion, twenty-six billion, nine hundred ninety-two million, eight hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 125 205 225 369 375 463 615 625 1025 1125 1389 1681 1845 1875 2315 3075 4167 5043 5125 5625 6945 8405 9225 11575 15129 15375 18983 20835 25215 25625 34725 42025 46125 56949 57875 75645 76875 94915 104175 126075 170847 173625 210125 214369 230625 284745 289375 378225 474575 520875 630375 643107 778303 854235 868125 1050625 1071845 1423725 1891125 1929321 2334909 2372875 2604375 3151875 3215535 3891515 4271175 5359225 7004727 7118625 8789129 9455625 9646605 11674545 11864375 16077675 19457575 21355875 26367387 26796125 35023635 35593125 43945645 48233025 58372725 79102161 80388375 97287875 106779375 131836935 133980625 175118175 219728225 241165125 291863625 360354289 395510805 401941875 486439375 659184675 875590875 1081062867 1098641125 1205825625 1459318125 1801771445 1977554025 3243188601 3295923375 4377954375 5405314335 5493205625 9008857225 9887770125 16215943005 16479616875 27026571675 45044286125 49438850625 81079715025 135132858375 225221430625 405398575125 675664291875 2026992875625