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9897710106816 = 26357257353767
BaseRepresentation
bin1001000000000111110101…
…1111101011100011000000
31022001012201102202021200000
42100001331133223203000
52244131002241404231
633014540101400000
72041041324530340
oct220017537534300
938035642667600
109897710106816
113176660360314
12113a2ab109000
1356a472101ccc
142630a1d10d20
151226deb816e6
hex9007d7eb8c0

9897710106816 has 336 divisors, whose sum is σ = 33754629382656. Its totient is φ = 2816905641984.

The previous prime is 9897710106799. The next prime is 9897710106833. The reversal of 9897710106816 is 6186010177989.

It is an interprime number because it is at equal distance from previous prime (9897710106799) and next prime (9897710106833).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27801165 + ... + 28154931.

It is an arithmetic number, because the mean of its divisors is an integer number (100460206496).

Almost surely, 29897710106816 is an apocalyptic number.

9897710106816 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 9897710106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877314691328).

9897710106816 is an abundant number, since it is smaller than the sum of its proper divisors (23856919275840).

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

9897710106816 is a wasteful number, since it uses less digits than its factorization.

9897710106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354058 (or 354036 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 9897710106816 in words is "nine trillion, eight hundred ninety-seven billion, seven hundred ten million, one hundred six thousand, eight hundred sixteen".