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2606484768 = 253170915887
BaseRepresentation
bin1001101101011011…
…1100110100100000
320201122120010220220
42123112330310200
520314230003033
61110350003040
7121406516646
oct23326746440
96648503826
102606484768
111118324648
12608aa6480
133270037a4
141aa24d196
15103c61bb3
hex9b5bcd20

2606484768 has 48 divisors (see below), whose sum is σ = 6846456960. Its totient is φ = 868265216.

The previous prime is 2606484767. The next prime is 2606484787. The reversal of 2606484768 is 8674846062.

2606484768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2606484768.

It is not an unprimeable number, because it can be changed into a prime (2606484767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156121 + ... + 172007.

It is an arithmetic number, because the mean of its divisors is an integer number (142634520).

Almost surely, 22606484768 is an apocalyptic number.

It is an amenable number.

2606484768 is an abundant number, since it is smaller than the sum of its proper divisors (4239972192).

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

2606484768 is a wasteful number, since it uses less digits than its factorization.

2606484768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17609 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 2606484768 is about 51053.7439175620. The cubic root of 2606484768 is about 1376.2111234100.

The spelling of 2606484768 in words is "two billion, six hundred six million, four hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1709 3418 5127 6836 10254 13672 15887 20508 27344 31774 41016 47661 54688 63548 82032 95322 127096 164064 190644 254192 381288 508384 762576 1525152 27150883 54301766 81452649 108603532 162905298 217207064 325810596 434414128 651621192 868828256 1303242384 2606484768