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9701969472 = 2632131976577
BaseRepresentation
bin10010000100100100…
…00100111001000000
3221001010222010002200
421002102010321000
5124332201010342
64242414513200
7462265244166
oct110222047100
927033863080
109701969472
114129566298
121a69205800
13bb802bc50
14680743236
153bbb3c94c
hex242484e40

9701969472 has 168 divisors, whose sum is σ = 30104690616. Its totient is φ = 2969616384.

The previous prime is 9701969437. The next prime is 9701969489. The reversal of 9701969472 is 2749691079.

It can be written as a sum of positive squares in 4 ways, for example, as 5592646656 + 4109322816 = 74784^2 + 64104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471848 + ... + 1478424.

It is an arithmetic number, because the mean of its divisors is an integer number (179194587).

Almost surely, 29701969472 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 9701969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052345308).

9701969472 is an abundant number, since it is smaller than the sum of its proper divisors (20402721144).

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

9701969472 is a wasteful number, since it uses less digits than its factorization.

9701969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 9701969472 is about 98498.5759897066. The cubic root of 9701969472 is about 2132.8155637549.

The spelling of 9701969472 in words is "nine billion, seven hundred one million, nine hundred sixty-nine thousand, four hundred seventy-two".