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690411428100 = 223252276972
BaseRepresentation
bin10100000101111111011…
…10100101100100000100
32110000001221220110212100
422002333232211210010
542302430311144400
61245100504552100
7100611016211262
oct12027756454404
92400057813770
10690411428100
11246890285709
12b1981482630
135014aa92964
14255b7a7d432
1512e5c3b9100
hexa0bfba5904

690411428100 has 81 divisors (see below), whose sum is σ = 2164134401247. Its totient is φ = 184103066880.

The previous prime is 690411428041. The next prime is 690411428123. The reversal of 690411428100 is 1824114096.

The square root of 690411428100 is 830910.

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

690411428100 is a `hidden beast` number, since 6 + 90 + 41 + 1 + 428 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366850685124 + 323560742976 = 605682^2 + 568824^2 .

It is a super-2 number, since 2×6904114281002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24913452 + ... + 24941148.

Almost surely, 2690411428100 is an apocalyptic number.

690411428100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

690411428100 is the 830910-th square number.

It is an amenable number.

690411428100 is an abundant number, since it is smaller than the sum of its proper divisors (1473722973147).

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

690411428100 is an equidigital number, since it uses as much as digits as its factorization.

690411428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55414 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 690411428100 by its sum of digits (36), we get a square (24854811411600 = 49854602).

690411428100 divided by its sum of digits (36) gives a square (19178095225 = 1384852).

The spelling of 690411428100 in words is "six hundred ninety billion, four hundred eleven million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 27697 55394 83091 110788 138485 166182 249273 276970 332364 415455 498546 553940 692425 830910 997092 1246365 1384850 1661820 2077275 2492730 2769700 4154550 4985460 6231825 8309100 12463650 24927300 767123809 1534247618 2301371427 3068495236 3835619045 4602742854 6904114281 7671238090 9205485708 11506857135 13808228562 15342476180 19178095225 23013714270 27616457124 34520571405 38356190450 46027428540 57534285675 69041142810 76712380900 115068571350 138082285620 172602857025 230137142700 345205714050 690411428100