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2137063320 = 2332577311617
BaseRepresentation
bin111111101100000…
…1111111110011000
312111221021001202100
41333120033332120
513334042011240
6552020403400
7103646511210
oct17730177630
95457231670
102137063320
119a7353337
124b7846560
13280996b12
14163b77240
15c7938e30
hex7f60ff98

2137063320 has 192 divisors, whose sum is σ = 8047091520. Its totient is φ = 481738752.

The previous prime is 2137063309. The next prime is 2137063363. The reversal of 2137063320 is 233607312.

2137063320 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 0 + 633 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178152 + ... + 189768.

It is an arithmetic number, because the mean of its divisors is an integer number (41911935).

Almost surely, 22137063320 is an apocalyptic number.

2137063320 is a gapful number since it is divisible by the number (20) 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 2137063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023545760).

2137063320 is an abundant number, since it is smaller than the sum of its proper divisors (5910028200).

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

2137063320 is a wasteful number, since it uses less digits than its factorization.

2137063320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2137063320 is about 46228.3821910307. The cubic root of 2137063320 is about 1288.0690056647.

The spelling of 2137063320 in words is "two billion, one hundred thirty-seven million, sixty-three thousand, three hundred twenty".