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2171797056 = 2633112131747
BaseRepresentation
bin1000000101110010…
…1111111001000000
312121100121201111000
42001130233321000
513421440001211
6555301052000
7104550653562
oct20134577100
95540551430
102171797056
11a14a17300
125073b7000
13287c38620
14168619332
15ca9ea656
hex8172fe40

2171797056 has 672 divisors, whose sum is σ = 8172541440. Its totient is φ = 559595520.

The previous prime is 2171797051. The next prime is 2171797079. The reversal of 2171797056 is 6507971712.

It is not an unprimeable number, because it can be changed into a prime (2171797051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46208425 + ... + 46208471.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 22171797056 is an apocalyptic number.

2171797056 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 2171797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086270720).

2171797056 is an abundant number, since it is smaller than the sum of its proper divisors (6000744384).

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

2171797056 is a wasteful number, since it uses less digits than its factorization.

2171797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The square root of 2171797056 is about 46602.5434499020. The cubic root of 2171797056 is about 1295.0098747526.

The spelling of 2171797056 in words is "two billion, one hundred seventy-one million, seven hundred ninety-seven thousand, fifty-six".