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2377268064 = 25328254403
BaseRepresentation
bin1000110110110010…
…0011101101100000
320010200020201201100
42031230203231200
514332040034224
61031521034400
7112624305453
oct21554435540
96120221640
102377268064
11100a9a6756
12564185a00
132bb689bc2
14187a2349a
15dda85ac9
hex8db23b60

2377268064 has 36 divisors (see below), whose sum is σ = 6760356876. Its totient is φ = 792422592.

The previous prime is 2377268059. The next prime is 2377268161. The reversal of 2377268064 is 4608627732.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23772680642 = 11302806896228616192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4126914 + ... + 4127489.

It is an arithmetic number, because the mean of its divisors is an integer number (187787691).

Almost surely, 22377268064 is an apocalyptic number.

2377268064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2377268064 is an abundant number, since it is smaller than the sum of its proper divisors (4383088812).

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

2377268064 is a wasteful number, since it uses less digits than its factorization.

2377268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254419 (or 8254408 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2377268064 is about 48757.2360168211. The cubic root of 2377268064 is about 1334.6253984103.

The spelling of 2377268064 in words is "two billion, three hundred seventy-seven million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8254403 16508806 24763209 33017612 49526418 66035224 74289627 99052836 132070448 148579254 198105672 264140896 297158508 396211344 594317016 792422688 1188634032 2377268064