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2153788056 = 233473741313
BaseRepresentation
bin1000000001100000…
…0011001010011000
312120002201202210000
42000120003022120
513402332204211
6553415053000
7104241616320
oct20030031230
95502652700
102153788056
11a05836932
12501371160
132842a1504
1416608c280
15c913e656
hex80603298

2153788056 has 320 divisors, whose sum is σ = 7276610880. Its totient is φ = 582266880.

The previous prime is 2153788033. The next prime is 2153788067. The reversal of 2153788056 is 6508873512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6880956 + ... + 6881268.

It is an arithmetic number, because the mean of its divisors is an integer number (22739409).

Almost surely, 22153788056 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 2153788056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638305440).

2153788056 is an abundant number, since it is smaller than the sum of its proper divisors (5122822824).

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

2153788056 is a wasteful number, since it uses less digits than its factorization.

2153788056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2153788056 is about 46408.9221594296. The cubic root of 2153788056 is about 1291.4204364458.

The spelling of 2153788056 in words is "two billion, one hundred fifty-three million, seven hundred eighty-eight thousand, fifty-six".