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9701887104 = 273472132113
BaseRepresentation
bin10010000100100011…
…10000110010000000
3221001010210221010000
421002101300302000
5124332140341404
64242413040000
7462264452100
oct110221606200
927033727100
109701887104
11412950a418
121a69186000
13bb8000600
14680721200
153bbb23339
hex242470c80

9701887104 has 720 divisors, whose sum is σ = 36690729570. Its totient is φ = 2536095744.

The previous prime is 9701887093. The next prime is 9701887109. The reversal of 9701887104 is 4017881079.

It can be written as a sum of positive squares in 3 ways, for example, as 1922647104 + 7779240000 = 43848^2 + 88200^2 .

It is a super-2 number, since 2×97018871042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9701887104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9701887109) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85857352 + ... + 85857464.

Almost surely, 29701887104 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 9701887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345364785).

9701887104 is an abundant number, since it is smaller than the sum of its proper divisors (26988842466).

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

9701887104 is a wasteful number, since it uses less digits than its factorization.

9701887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 9701887104 is about 98498.1578710993. The cubic root of 9701887104 is about 2132.8095279959.

The spelling of 9701887104 in words is "nine billion, seven hundred one million, eight hundred eighty-seven thousand, one hundred four".