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9380270952 = 23321322734409
BaseRepresentation
bin10001011110001101…
…11001001101101000
3220012201122010200200
420233012321031220
5123202322132302
64150443432200
7451310662503
oct105706711550
926181563620
109380270952
113a83a11448
121999525660
13b664a48b0
1464db2213a
1539d79481c
hex22f1b9368

9380270952 has 96 divisors (see below), whose sum is σ = 27377368200. Its totient is φ = 2884313088.

The previous prime is 9380270903. The next prime is 9380270959. The reversal of 9380270952 is 2590720839.

9380270952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6233734116 + 3146536836 = 78954^2 + 56094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9380270898 and 9380270907.

It is not an unprimeable number, because it can be changed into a prime (9380270959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125324 + ... + 2129732.

Almost surely, 29380270952 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 9380270952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688684100).

9380270952 is an abundant number, since it is smaller than the sum of its proper divisors (17997097248).

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

9380270952 is a wasteful number, since it uses less digits than its factorization.

9380270952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9380270952 is about 96851.7989094679. The cubic root of 9380270952 is about 2108.9767619370.

The spelling of 9380270952 in words is "nine billion, three hundred eighty million, two hundred seventy thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2273 4409 4546 6819 8818 9092 13227 13638 17636 18184 20457 26454 27276 29549 35272 39681 40914 52908 54552 57317 59098 79362 81828 88647 105816 114634 118196 158724 163656 171951 177294 229268 236392 265941 317448 343902 354588 458536 515853 531882 687804 709176 1031706 1063764 1375608 2063412 2127528 4126824 10021657 20043314 30064971 40086628 60129942 80173256 90194913 120259884 130281541 180389826 240519768 260563082 360779652 390844623 521126164 721559304 781689246 1042252328 1172533869 1563378492 2345067738 3126756984 4690135476 9380270952