Search a number
-
+
9655420644 = 22345321032
BaseRepresentation
bin10001111111000001…
…00000011011100100
3220220220101012010000
420333200200123210
5124233241430034
64234033101300
7461161502262
oct107740403344
926826335100
109655420644
114105262491
121a556b7830
13bab4b166c
146784a7432
153b79e5599
hex23f8206e4

9655420644 has 135 divisors (see below), whose sum is σ = 25978607193. Its totient is φ = 3127089888.

The previous prime is 9655420609. The next prime is 9655420679. The reversal of 9655420644 is 4460245569.

The square root of 9655420644 is 98262.

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

9655420644 is a `hidden beast` number, since 9 + 65 + 542 + 0 + 6 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (9655420609) and next prime (9655420679).

It can be written as a sum of positive squares in only one way, i.e., 6960564900 + 2694855744 = 83430^2 + 51912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9655420644.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93741897 + ... + 93741999.

Almost surely, 29655420644 is an apocalyptic number.

9655420644 is the 98262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9655420644

9655420644 is an abundant number, since it is smaller than the sum of its proper divisors (16323186549).

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

9655420644 is a wasteful number, since it uses less digits than its factorization.

9655420644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The cubic root of 9655420644 is about 2129.3991004808.

The spelling of 9655420644 in words is "nine billion, six hundred fifty-five million, four hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 103 106 108 159 162 206 212 309 318 324 412 477 618 636 927 954 1236 1431 1854 1908 2781 2809 2862 3708 4293 5459 5562 5618 5724 8343 8427 8586 10609 10918 11124 11236 16377 16686 16854 17172 21218 21836 25281 31827 32754 33372 33708 42436 49131 50562 63654 65508 75843 95481 98262 101124 127308 147393 151686 190962 196524 227529 286443 289327 294786 303372 381924 442179 455058 562277 572886 578654 589572 859329 867981 884358 910116 1124554 1145772 1157308 1686831 1718658 1735962 1768716 2249108 2603943 3373662 3437316 3471924 5060493 5207886 6747324 7811829 10120986 10415772 15181479 15623658 20241972 23435487 29800681 30362958 31247316 45544437 46870974 59601362 60725916 89402043 91088874 93741948 119202724 178804086 182177748 268206129 357608172 536412258 804618387 1072824516 1609236774 2413855161 3218473548 4827710322 9655420644