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2173328064 = 26331257713
BaseRepresentation
bin1000000110001010…
…0101101011000000
312121110111111122000
42001202211223000
513422332444224
6555353544000
7104566661265
oct20142455300
95543444560
102173328064
11a158725a6
12507a15000
1328835344b
141688d726c
15cabee0c9
hex818a5ac0

2173328064 has 56 divisors (see below), whose sum is σ = 6389187120. Its totient is φ = 724442112.

The previous prime is 2173328057. The next prime is 2173328077. The reversal of 2173328064 is 4608233712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627129 + ... + 630584.

Almost surely, 22173328064 is an apocalyptic number.

2173328064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2173328064 is an abundant number, since it is smaller than the sum of its proper divisors (4215859056).

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

2173328064 is a wasteful number, since it uses less digits than its factorization.

2173328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257734 (or 1257718 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2173328064 is about 46618.9667839175. The cubic root of 2173328064 is about 1295.3141089445.

The spelling of 2173328064 in words is "two billion, one hundred seventy-three million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1257713 2515426 3773139 5030852 7546278 10061704 11319417 15092556 20123408 22638834 30185112 33958251 40246816 45277668 60370224 67916502 80493632 90555336 120740448 135833004 181110672 241480896 271666008 362221344 543332016 724442688 1086664032 2173328064