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9942717224 = 23111131277873
BaseRepresentation
bin10010100001010000…
…11101001100101000
3221122220222100221002
421100220131030220
5130330313422344
64322334534132
7501250462526
oct112050351450
927586870832
109942717224
11424244a680
121b15967348
13c25b8223b
146a46d1316
153d2d4544e
hex250a1d328

9942717224 has 64 divisors (see below), whose sum is σ = 20681533440. Its totient is φ = 4443586560.

The previous prime is 9942717221. The next prime is 9942717227. The reversal of 9942717224 is 4227172499.

It is an interprime number because it is at equal distance from previous prime (9942717221) and next prime (9942717227).

It is not an unprimeable number, because it can be changed into a prime (9942717221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258952 + ... + 1266824.

It is an arithmetic number, because the mean of its divisors is an integer number (323148960).

Almost surely, 29942717224 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 9942717224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340766720).

9942717224 is an abundant number, since it is smaller than the sum of its proper divisors (10738816216).

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

9942717224 is a wasteful number, since it uses less digits than its factorization.

9942717224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8126 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 9942717224 is about 99713.1747764557. The cubic root of 9942717224 is about 2150.3130767449.

The spelling of 9942717224 in words is "nine billion, nine hundred forty-two million, seven hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 113 127 226 254 452 508 904 1016 1243 1397 2486 2794 4972 5588 7873 9944 11176 14351 15746 28702 31492 57404 62984 86603 114808 157861 173206 315722 346412 631444 692824 889649 999871 1262888 1779298 1999742 3558596 3999484 7117192 7998968 9786139 10998581 19572278 21997162 39144556 43994324 78289112 87988648 112985423 225970846 451941692 903883384 1242839653 2485679306 4971358612 9942717224