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9979299954009 = 32712148312
BaseRepresentation
bin1001000100110111110010…
…1000001111110101011001
31022100000022120102222000100
42101031330220033311121
52302000101242012014
633120232131130013
72046660233015061
oct221157450176531
938300276388010
109979299954009
1131a82197340a1
12115207b443909
135750757265b9
14267001c9a3a1
151248b79e6009
hex9137ca0fd59

9979299954009 has 27 divisors (see below), whose sum is σ = 14621411459317. Its totient is φ = 6558722028600.

The previous prime is 9979299953977. The next prime is 9979299954059. The reversal of 9979299954009 is 9004599929799.

The square root of 9979299954009 is 3159003.

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

It is not a de Polignac number, because 9979299954009 - 25 = 9979299953977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9979299954059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 672860224 + ... + 672875054.

Almost surely, 29979299954009 is an apocalyptic number.

9979299954009 is the 3159003-rd square number.

9979299954009 is the 1579502-nd centered octagonal number.

It is an amenable number.

9979299954009 is a deficient number, since it is larger than the sum of its proper divisors (4642111505308).

9979299954009 is an frugal number, since it uses more digits than its factorization.

9979299954009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29810 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 1339231320, while the sum is 81.

Multiplying 9979299954009 by its sum of digits (81), we get a square (808323296274729 = 284310272).

The spelling of 9979299954009 in words is "nine trillion, nine hundred seventy-nine billion, two hundred ninety-nine million, nine hundred fifty-four thousand, nine".

Divisors: 1 3 9 71 213 639 5041 14831 15123 44493 45369 133479 1053001 3159003 9477009 74763071 219958561 224289213 659875683 672867639 1979627049 15617057831 46851173493 140553520479 1108811106001 3326433318003 9979299954009