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9947668644 = 223618472
BaseRepresentation
bin10010100001110110…
…10110000010100100
3221200021021221000000
421100323112002210
5130333100344034
64323033021300
7501340534254
oct112073260244
927607257000
109947668644
114245221761
121b17554830
13c26bc6b84
146a521d964
153d34c2599
hex250ed60a4

9947668644 has 63 divisors (see below), whose sum is σ = 26114829307. Its totient is φ = 3314094264.

The previous prime is 9947668637. The next prime is 9947668649. The reversal of 9947668644 is 4468667499.

The square root of 9947668644 is 99738.

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

It is a super-2 number, since 2×99476686442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9947668649) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5384929 + ... + 5386775.

Almost surely, 29947668644 is an apocalyptic number.

9947668644 is the 99738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947668644

9947668644 is an abundant number, since it is smaller than the sum of its proper divisors (16167160663).

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

9947668644 is an frugal number, since it uses more digits than its factorization.

9947668644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 1852 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The cubic root of 9947668644 is about 2150.6699656457.

The spelling of 9947668644 in words is "nine billion, nine hundred forty-seven million, six hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1847 2916 3694 5541 7388 11082 16623 22164 33246 49869 66492 99738 149607 199476 299214 448821 598428 897642 1346463 1795284 2692926 3411409 5385852 6822818 10234227 13645636 20468454 30702681 40936908 61405362 92108043 122810724 184216086 276324129 368432172 552648258 828972387 1105296516 1657944774 2486917161 3315889548 4973834322 9947668644