Search a number
-
+
9997000704 = 21332135593
BaseRepresentation
bin10010100111101111…
…00010000000000000
3221210201010020212100
421103313202000000
5130433213010304
64331554230400
7502510050435
oct112367420000
927721106770
109997000704
114270056659
121b2bb85400
13c341aa242
146ab9c1b8c
153d79b9439
hex253de2000

9997000704 has 84 divisors (see below), whose sum is σ = 28878674526. Its totient is φ = 3332308992.

The previous prime is 9997000703. The next prime is 9997000747. The reversal of 9997000704 is 4070007999.

It can be written as a sum of positive squares in only one way, i.e., 5351215104 + 4645785600 = 73152^2 + 68160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9997000704.

It is not an unprimeable number, because it can be changed into a prime (9997000703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5932 + ... + 141524.

Almost surely, 29997000704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439337263).

9997000704 is an abundant number, since it is smaller than the sum of its proper divisors (18881673822).

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

9997000704 is a wasteful number, since it uses less digits than its factorization.

9997000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135625 (or 135598 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9997000704 is about 99985.0023953593. The cubic root of 9997000704 is about 2154.2192755825.

The spelling of 9997000704 in words is "nine billion, nine hundred ninety-seven million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 73728 135593 271186 406779 542372 813558 1084744 1220337 1627116 2169488 2440674 3254232 4338976 4881348 6508464 8677952 9762696 13016928 17355904 19525392 26033856 34711808 39050784 52067712 69423616 78101568 104135424 138847232 156203136 208270848 277694464 312406272 416541696 555388928 624812544 833083392 1110777856 1249625088 1666166784 2499250176 3332333568 4998500352 9997000704