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9997600144 = 247235712
BaseRepresentation
bin10010100111110011…
…10100010110010000
3221210202020201010211
421103321310112100
5130433341201034
64332015133504
7502515125200
oct112371642620
927722221124
109997600144
114270425a64
121b30214294
13c3435a03c
146abada400
153d7a86d64
hex253e74590

9997600144 has 45 divisors (see below), whose sum is σ = 22539168171. Its totient is φ = 4283485920.

The previous prime is 9997600127. The next prime is 9997600163. The reversal of 9997600144 is 4410067999.

The square root of 9997600144 is 99988.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2797879 + ... + 2801449.

Almost surely, 29997600144 is an apocalyptic number.

9997600144 is the 99988-th square number.

It is an amenable number.

9997600144 is an abundant number, since it is smaller than the sum of its proper divisors (12541568027).

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

9997600144 is an frugal number, since it uses more digits than its factorization.

9997600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The cubic root of 9997600144 is about 2154.2623318094.

Multiplying 9997600144 by its sum of digits (49), we get a square (489882407056 = 6999162).

9997600144 divided by its sum of digits (49) gives a square (204032656 = 142842).

The spelling of 9997600144 in words is "nine billion, nine hundred ninety-seven million, six hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3571 7142 14284 24997 28568 49994 57136 99988 174979 199976 349958 399952 699916 1399832 2799664 12752041 25504082 51008164 89264287 102016328 178528574 204032656 357057148 624850009 714114296 1249700018 1428228592 2499400036 4998800072 9997600144