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88796769120 = 253251747711087
BaseRepresentation
bin101001010110010110…
…0110010101101100000
322111012101210020122200
41102230230302231200
52423323433102440
6104443114533200
76262316040543
oct1225454625540
9274171706580
1088796769120
1134727508a04
1215261a37200
1384b1769347
1444251aa85a
15249a903c30
hex14acb32b60

88796769120 has 576 divisors, whose sum is σ = 332590841856. Its totient is φ = 21485076480.

The previous prime is 88796769107. The next prime is 88796769133. The reversal of 88796769120 is 2196769788.

It is an interprime number because it is at equal distance from previous prime (88796769107) and next prime (88796769133).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 81689217 + ... + 81690303.

It is an arithmetic number, because the mean of its divisors is an integer number (577414656).

Almost surely, 288796769120 is an apocalyptic number.

88796769120 is a gapful number since it is divisible by the number (80) 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 88796769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166295420928).

88796769120 is an abundant number, since it is smaller than the sum of its proper divisors (243794072736).

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

88796769120 is a wasteful number, since it uses less digits than its factorization.

88796769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 88796769120 in words is "eighty-eight billion, seven hundred ninety-six million, seven hundred sixty-nine thousand, one hundred twenty".