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9978202080 = 253657112101
BaseRepresentation
bin10010100101011111…
…10100011111100000
3221202101202012000000
421102233310133200
5130413404431310
64330043300000
7502161214110
oct112257643740
927671665000
109978202080
114260486a00
121b2581a600
13c303278b2
146a92cb040
153d60044c0
hex252bf47e0

9978202080 has 1008 divisors, whose sum is σ = 44838777312. Its totient is φ = 2052864000.

The previous prime is 9978202067. The next prime is 9978202099. The reversal of 9978202080 is 802028799.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 98794030 + ... + 98794130.

It is an arithmetic number, because the mean of its divisors is an integer number (44482914).

Almost surely, 29978202080 is an apocalyptic number.

9978202080 is a gapful number since it is divisible by the number (90) 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 9978202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419388656).

9978202080 is an abundant number, since it is smaller than the sum of its proper divisors (34860575232).

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

9978202080 is a wasteful number, since it uses less digits than its factorization.

9978202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9978202080 is about 99890.9509415142. The cubic root of 9978202080 is about 2152.8681447317.

The spelling of 9978202080 in words is "nine billion, nine hundred seventy-eight million, two hundred two thousand, eighty".