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2136916620 = 2233529612237
BaseRepresentation
bin111111101011110…
…1100001010001100
312111220222121112000
41333113230022030
513334022312440
6552013312300
7103645330416
oct17727541214
95456877460
102136916620
119a72630a3
124b7795690
13280945107
14163b399b6
15c790a730
hex7f5ec28c

2136916620 has 192 divisors, whose sum is σ = 6993302400. Its totient is φ = 540933120.

The previous prime is 2136916603. The next prime is 2136916631. The reversal of 2136916620 is 266196312.

It is a happy number.

2136916620 is a `hidden beast` number, since 2 + 13 + 6 + 9 + 16 + 620 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954142 + ... + 956378.

It is an arithmetic number, because the mean of its divisors is an integer number (36423450).

Almost surely, 22136916620 is an apocalyptic number.

2136916620 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 2136916620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496651200).

2136916620 is an abundant number, since it is smaller than the sum of its proper divisors (4856385780).

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

2136916620 is a wasteful number, since it uses less digits than its factorization.

2136916620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2136916620 is about 46226.7954762170. The cubic root of 2136916620 is about 1288.0395315658.

The spelling of 2136916620 in words is "two billion, one hundred thirty-six million, nine hundred sixteen thousand, six hundred twenty".