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9971220736 = 28794
BaseRepresentation
bin10010100100101010…
…01100000100000000
3221201220121111101201
421102111030010000
5130410113030421
64325233510544
7502044656251
oct112225140400
927656544351
109971220736
1142575487a4
121b23412454
13c2ba52019
146a83d0b28
153d55c5b91
hex25254c100

9971220736 has 45 divisors (see below), whose sum is σ = 20158664351. Its totient is φ = 4922501376.

The previous prime is 9971220731. The next prime is 9971220769. The reversal of 9971220736 is 6370221799.

The square root of 9971220736 is 99856.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9971220731) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 126217945 + ... + 126218023.

Almost surely, 29971220736 is an apocalyptic number.

9971220736 is the 99856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971220736

9971220736 is an abundant number, since it is smaller than the sum of its proper divisors (10187443615).

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

9971220736 is an frugal number, since it uses more digits than its factorization.

9971220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The cubic root of 9971220736 is about 2152.3659360297.

The spelling of 9971220736 in words is "nine billion, nine hundred seventy-one million, two hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 6241 10112 12482 20224 24964 49928 99856 199712 399424 493039 798848 986078 1597696 1972156 3944312 7888624 15777248 31554496 38950081 63108992 77900162 126217984 155800324 311600648 623201296 1246402592 2492805184 4985610368 9971220736