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2153296296 = 23321719531747
BaseRepresentation
bin1000000001011000…
…1011000110101000
312120001210210012200
42000112023012220
513402220440141
6553400340200
7104234500524
oct20026130650
95501723180
102153296296
11a05530418
12501174660
1328415b728
14165da0d84
15c9093ab6
hex8058b1a8

2153296296 has 192 divisors, whose sum is σ = 6626318400. Its totient is φ = 627554304.

The previous prime is 2153296283. The next prime is 2153296309. The reversal of 2153296296 is 6926923512.

2153296296 is a `hidden beast` number, since 2 + 1 + 532 + 96 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2153296283) and next prime (2153296309).

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 47 ways as a sum of consecutive naturals, for example, 1231695 + ... + 1233441.

It is an arithmetic number, because the mean of its divisors is an integer number (34512075).

Almost surely, 22153296296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153296296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313159200).

2153296296 is an abundant number, since it is smaller than the sum of its proper divisors (4473022104).

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

2153296296 is a wasteful number, since it uses less digits than its factorization.

2153296296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2153296296 is about 46403.6237378074. The cubic root of 2153296296 is about 1291.3221418385.

The spelling of 2153296296 in words is "two billion, one hundred fifty-three million, two hundred ninety-six thousand, two hundred ninety-six".