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9978909696 = 21035717337
BaseRepresentation
bin10010100101100101…
…00001010000000000
3221202110002010200000
421102302201100000
5130414100102241
64330110400000
7502200222120
oct112262412000
927673063600
109978909696
11426091a608
121b25b00000
13c305149c2
146a9432c80
153d60e3eb6
hex252ca1400

9978909696 has 528 divisors, whose sum is σ = 36265896576. Its totient is φ = 2675441664.

The previous prime is 9978909671. The next prime is 9978909701. The reversal of 9978909696 is 6969098799.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610840 + ... + 29611176.

Almost surely, 29978909696 is an apocalyptic number.

9978909696 is a gapful number since it is divisible by the number (96) 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 9978909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132948288).

9978909696 is an abundant number, since it is smaller than the sum of its proper divisors (26286986880).

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

9978909696 is a wasteful number, since it uses less digits than its factorization.

9978909696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The square root of 9978909696 is about 99894.4928211761. The cubic root of 9978909696 is about 2152.9190345921.

The spelling of 9978909696 in words is "nine billion, nine hundred seventy-eight million, nine hundred nine thousand, six hundred ninety-six".