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7804433664 = 28323387341
BaseRepresentation
bin1110100010010111…
…00011010100000000
3202010220102022022200
413101023203110000
5111440413334124
63330232033200
7364254406626
oct72113432400
922126368280
107804433664
113345443585
121619832800
13974b7bbb1
1454071b516
1530a269bc9
hex1d12e3500

7804433664 has 54 divisors (see below), whose sum is σ = 22502112906. Its totient is φ = 2601477120.

The previous prime is 7804433639. The next prime is 7804433677. The reversal of 7804433664 is 4663344087.

It can be written as a sum of positive squares in only one way, i.e., 4324377600 + 3480056064 = 65760^2 + 58992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1691367 + ... + 1695974.

Almost surely, 27804433664 is an apocalyptic number.

It is an amenable number.

7804433664 is an abundant number, since it is smaller than the sum of its proper divisors (14697679242).

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

7804433664 is a wasteful number, since it uses less digits than its factorization.

7804433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387363 (or 3387346 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 7804433664 is about 88342.7057769910. The cubic root of 7804433664 is about 1983.5681725801.

The spelling of 7804433664 in words is "seven billion, eight hundred four million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3387341 6774682 10162023 13549364 20324046 27098728 30486069 40648092 54197456 60972138 81296184 108394912 121944276 162592368 216789824 243888552 325184736 433579648 487777104 650369472 867159296 975554208 1300738944 1951108416 2601477888 3902216832 7804433664