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2757089664 = 27387267
BaseRepresentation
bin1010010001010101…
…1101100110000000
321010010221200000000
42210111131212000
521121303332124
61133330000000
7125215606200
oct24425354600
97103850000
102757089664
11119533a2aa
1264b416000
1334c284b04
141c2254400
151120b06c9
hexa455d980

2757089664 has 432 divisors, whose sum is σ = 9726647580. Its totient is φ = 775982592.

The previous prime is 2757089659. The next prime is 2757089681. The reversal of 2757089664 is 4669807572.

2757089664 is a `hidden beast` number, since 2 + 7 + 570 + 8 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2757089664.

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 53 ways as a sum of consecutive naturals, for example, 41150559 + ... + 41150625.

Almost surely, 22757089664 is an apocalyptic number.

2757089664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2757089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863323790).

2757089664 is an abundant number, since it is smaller than the sum of its proper divisors (6969557916).

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

2757089664 is an frugal number, since it uses more digits than its factorization.

2757089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2757089664 is about 52507.9961910565. The cubic root of 2757089664 is about 1402.2226029205. Note that the first 3 decimals are identical.

The spelling of 2757089664 in words is "two billion, seven hundred fifty-seven million, eighty-nine thousand, six hundred sixty-four".