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9948687138 = 2341315730089
BaseRepresentation
bin10010100001111110…
…01110101100100010
3221200100012200010000
421100333032230202
5130333330442023
64323110520430
7501352305525
oct112077165442
927610180100
109948687138
114245857995
121b17966116
13c27192630
146a5406bbc
153d3624243
hex250fceb22

9948687138 has 80 divisors (see below), whose sum is σ = 24160946040. Its totient is φ = 3041535744.

The previous prime is 9948687103. The next prime is 9948687139. The reversal of 9948687138 is 8317868499.

9948687138 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 5834362689 + 4114324449 = 76383^2 + 64143^2 .

It is not an unprimeable number, because it can be changed into a prime (9948687139) 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 39 ways as a sum of consecutive naturals, for example, 315598 + ... + 345686.

Almost surely, 29948687138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9948687138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080473020).

9948687138 is an abundant number, since it is smaller than the sum of its proper divisors (14212258902).

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

9948687138 is a wasteful number, since it uses less digits than its factorization.

9948687138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30273 (or 30264 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 9948687138 is about 99743.1057166359. The cubic root of 9948687138 is about 2150.7433620625.

It can be divided in two parts, 99486 and 87138, that added together give a square (186624 = 4322).

The spelling of 9948687138 in words is "nine billion, nine hundred forty-eight million, six hundred eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 157 162 234 314 351 471 702 942 1053 1413 2041 2106 2826 4082 4239 6123 8478 12246 12717 18369 25434 30089 36738 55107 60178 90267 110214 165321 180534 270801 330642 391157 541602 782314 812403 1173471 1624806 2346942 2437209 3520413 4723973 4874418 7040826 9447946 10561239 14171919 21122478 28343838 31683717 42515757 61411649 63367434 85031514 122823298 127547271 184234947 255094542 368469894 382641813 552704841 765283626 1105409682 1658114523 3316229046 4974343569 9948687138