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6412172300 = 22522310327067
BaseRepresentation
bin1011111100011000…
…11111110000001100
3121112212122002202222
411332030133300030
5101113004003200
62540135034512
7314620364612
oct57614376014
917485562688
106412172300
1127a055aa56
1212ab50ba38
137b25ac8c1
1444b8616b2
15277e02d85
hex17e31fc0c

6412172300 has 72 divisors (see below), whose sum is σ = 14660894976. Its totient is φ = 2429444160.

The previous prime is 6412172297. The next prime is 6412172317. The reversal of 6412172300 is 32712146.

It is a super-2 number, since 2×64121723002 = 82231907209774580000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6412172300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223367 + ... + 250433.

Almost surely, 26412172300 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 6412172300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330447488).

6412172300 is an abundant number, since it is smaller than the sum of its proper divisors (8248722676).

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

6412172300 is a wasteful number, since it uses less digits than its factorization.

6412172300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27207 (or 27200 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 6412172300 is about 80076.0407362902. The cubic root of 6412172300 is about 1857.8118465864.

Adding to 6412172300 its reverse (32712146), we get a palindrome (6444884446).

The spelling of 6412172300 in words is "six billion, four hundred twelve million, one hundred seventy-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 103 115 206 230 412 460 515 575 1030 1150 2060 2300 2369 2575 4738 5150 9476 10300 11845 23690 27067 47380 54134 59225 108268 118450 135335 236900 270670 541340 622541 676675 1245082 1353350 2490164 2706700 2787901 3112705 5575802 6225410 11151604 12450820 13939505 15563525 27879010 31127050 55758020 62254100 64121723 69697525 128243446 139395050 256486892 278790100 320608615 641217230 1282434460 1603043075 3206086150 6412172300