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6816320900 = 225285779537
BaseRepresentation
bin1100101100100100…
…01100110110000100
3122121001002222102122
412112102030312010
5102424434232100
63044213225112
7330625525454
oct62622146604
918531088378
106816320900
1129886a9864
1213a2932198
1384824459c
144893c5d64
1529d635985
hex19648cd84

6816320900 has 36 divisors (see below), whose sum is σ = 14808862068. Its totient is φ = 2723312640.

The previous prime is 6816320881. The next prime is 6816320977. The reversal of 6816320900 is 90236186.

It can be written as a sum of positive squares in 6 ways, for example, as 1139602564 + 5676718336 = 33758^2 + 75344^2 .

It is a super-2 number, since 2×68163209002 = 92924461223553620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45932 + ... + 125468.

Almost surely, 26816320900 is an apocalyptic number.

It is an amenable number.

6816320900 is an abundant number, since it is smaller than the sum of its proper divisors (7992541168).

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

6816320900 is a wasteful number, since it uses less digits than its factorization.

6816320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80408 (or 80401 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 6816320900 is about 82561.0131963023. The cubic root of 6816320900 is about 1896.0509761111.

The spelling of 6816320900 in words is "six billion, eight hundred sixteen million, three hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 857 1714 3428 4285 8570 17140 21425 42850 79537 85700 159074 318148 397685 795370 1590740 1988425 3976850 7953700 68163209 136326418 272652836 340816045 681632090 1363264180 1704080225 3408160450 6816320900