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3668290098 = 23112912715091
BaseRepresentation
bin1101101010100101…
…1010101000110010
3100110122112110000020
43122221122220302
530003040240343
61404000104310
7156621644214
oct33251325062
910418473006
103668290098
111612721710
12864605096
13465ca0575
1426b2885b4
151670a0b83
hexdaa5aa32

3668290098 has 64 divisors (see below), whose sum is σ = 8345272320. Its totient is φ = 1064750400.

The previous prime is 3668290091. The next prime is 3668290159. The reversal of 3668290098 is 8900928663.

3668290098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3668290098.

It is not an unprimeable number, because it can be changed into a prime (3668290091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235533 + ... + 250623.

It is an arithmetic number, because the mean of its divisors is an integer number (130394880).

Almost surely, 23668290098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668290098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172636160).

3668290098 is an abundant number, since it is smaller than the sum of its proper divisors (4676982222).

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

3668290098 is a wasteful number, since it uses less digits than its factorization.

3668290098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263.

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 3668290098 is about 60566.4106415429. The cubic root of 3668290098 is about 1542.2492149028.

The spelling of 3668290098 in words is "three billion, six hundred sixty-eight million, two hundred ninety thousand, ninety-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 127 174 254 319 381 638 762 957 1397 1914 2794 3683 4191 7366 8382 11049 15091 22098 30182 40513 45273 81026 90546 121539 166001 243078 332002 437639 498003 875278 996006 1312917 1916557 2625834 3833114 4814029 5749671 9628058 11499342 14442087 21082127 28884174 42164254 55580153 63246381 111160306 126492762 166740459 333480918 611381683 1222763366 1834145049 3668290098