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9952090317 = 3213235369779
BaseRepresentation
bin10010100010011000…
…01101100011001101
3221200120121120101200
421101030031203031
5130340213342232
64323311500113
7501423241401
oct112114154315
927616546350
109952090317
114247771834
121b18b27639
13c27ab4650
146a5a51101
153d3a9777c
hex25130d8cd

9952090317 has 48 divisors (see below), whose sum is σ = 16459148160. Its totient is φ = 5747474304.

The previous prime is 9952090307. The next prime is 9952090319. The reversal of 9952090317 is 7130902599.

It is a happy number.

9952090317 is a `hidden beast` number, since 9 + 9 + 520 + 90 + 31 + 7 = 666.

9952090317 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9952090317 - 28 = 9952090061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952090319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107734 + ... + 177512.

It is an arithmetic number, because the mean of its divisors is an integer number (342898920).

Almost surely, 29952090317 is an apocalyptic number.

It is an amenable number.

9952090317 is a deficient number, since it is larger than the sum of its proper divisors (6507057843).

9952090317 is a wasteful number, since it uses less digits than its factorization.

9952090317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69874 (or 69871 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9952090317 is about 99760.1639784137. The cubic root of 9952090317 is about 2150.9885713086.

The spelling of 9952090317 in words is "nine billion, nine hundred fifty-two million, ninety thousand, three hundred seventeen".

Divisors: 1 3 9 13 23 39 53 69 117 159 207 299 477 689 897 1219 2067 2691 3657 6201 10971 15847 47541 69779 142623 209337 628011 907127 1604917 2721381 3698287 4814751 8164143 11094861 14444253 20863921 33284583 48077731 62591763 85060601 144233193 187775289 255181803 432699579 765545409 1105787813 3317363439 9952090317