Search a number
-
+
9770056002 = 2337236710061
BaseRepresentation
bin10010001100101011…
…10011100101000010
3221012220002021021000
421012111303211002
5130002113243002
64253250112430
7464053051200
oct110625634502
927186067230
109770056002
114163a3a753
121a87b7b716
13bc917a835
146897c8070
153c2adb61c
hex246573942

9770056002 has 96 divisors (see below), whose sum is σ = 25327261440. Its totient is φ = 2783561760.

The previous prime is 9770055991. The next prime is 9770056027. The reversal of 9770056002 is 2006500779.

9770056002 is a `hidden beast` number, since 97 + 7 + 0 + 0 + 560 + 0 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966052 + ... + 976112.

It is an arithmetic number, because the mean of its divisors is an integer number (263825640).

Almost surely, 29770056002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9770056002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12663630720).

9770056002 is an abundant number, since it is smaller than the sum of its proper divisors (15557205438).

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

9770056002 is a wasteful number, since it uses less digits than its factorization.

9770056002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10453 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 9770056002 is about 98843.5936315551. The cubic root of 9770056002 is about 2137.7931658220.

The spelling of 9770056002 in words is "nine billion, seven hundred seventy million, fifty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 367 378 441 734 882 1101 1323 2202 2569 2646 3303 5138 6606 7707 9909 10061 15414 17983 19818 20122 23121 30183 35966 46242 53949 60366 69363 70427 90549 107898 138726 140854 161847 181098 211281 271647 323694 422562 485541 492989 543294 633843 971082 985978 1267686 1478967 1901529 2957934 3692387 3803058 4436901 7384774 8873802 11077161 13310703 22154322 25846709 26621406 33231483 51693418 66462966 77540127 99694449 155080254 180926963 199388898 232620381 361853926 465240762 542780889 697861143 1085561778 1395722286 1628342667 3256685334 4885028001 9770056002