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2151532656 = 24327131131453
BaseRepresentation
bin1000000000111101…
…1100100001110000
312112221111011221200
42000033130201300
513401243021111
6553254451200
7104213503650
oct20017344160
95487434850
102151532656
11a04536369
12500663b00
13283991a60
14165a62360
15c8d46256
hex803dc870

2151532656 has 240 divisors, whose sum is σ = 7481562816. Its totient is φ = 562028544.

The previous prime is 2151532637. The next prime is 2151532657. The reversal of 2151532656 is 6562351512.

2151532656 is a `hidden beast` number, since 21 + 51 + 532 + 6 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2151532656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151532657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480026 + ... + 1481478.

Almost surely, 22151532656 is an apocalyptic number.

2151532656 is a gapful number since it is divisible by the number (26) 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 2151532656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740781408).

2151532656 is an abundant number, since it is smaller than the sum of its proper divisors (5330030160).

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

2151532656 is a wasteful number, since it uses less digits than its factorization.

2151532656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1591 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2151532656 is about 46384.6165878301. The cubic root of 2151532656 is about 1290.9694965416.

The spelling of 2151532656 in words is "two billion, one hundred fifty-one million, five hundred thirty-two thousand, six hundred fifty-six".