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88296040896 = 2637474633019
BaseRepresentation
bin101001000111011011…
…0101010100111000000
322102220111120121122220
41102032312222213000
52421312241302041
6104321310331040
76244025651520
oct1221666524700
9272814517586
1088296040896
113449a8a4428
12151421b9a80
138431aba95b
1443b88a5680
15246b994d66
hex148edaa9c0

88296040896 has 224 divisors, whose sum is σ = 273350492160. Its totient is φ = 24629197824.

The previous prime is 88296040867. The next prime is 88296040897. The reversal of 88296040896 is 69804069288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88296040897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29245275 + ... + 29248293.

Almost surely, 288296040896 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 88296040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136675246080).

88296040896 is an abundant number, since it is smaller than the sum of its proper divisors (185054451264).

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

88296040896 is a wasteful number, since it uses less digits than its factorization.

88296040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 88296040896 in words is "eighty-eight billion, two hundred ninety-six million, forty thousand, eight hundred ninety-six".