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13013858298 = 2372341457719
BaseRepresentation
bin11000001111010111…
…11011011111111010
31020120221212111110210
430013223323133322
5203123021431143
65551204051550
7640331653560
oct140753733772
936527774423
1013013858298
115578a903a1
122632393bb6
1312c521478c
148b6535a30
1551278d033
hex307afb7fa

13013858298 has 128 divisors (see below), whose sum is σ = 31910215680. Its totient is φ = 3457428480.

The previous prime is 13013858293. The next prime is 13013858323. The reversal of 13013858298 is 89285831031.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13013858293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18099583 + ... + 18100301.

It is an arithmetic number, because the mean of its divisors is an integer number (249298560).

Almost surely, 213013858298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013858298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955107840).

13013858298 is an abundant number, since it is smaller than the sum of its proper divisors (18896357382).

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

13013858298 is a wasteful number, since it uses less digits than its factorization.

13013858298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252.

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 13013858298 in words is "thirteen billion, thirteen million, eight hundred fifty-eight thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 69 82 123 138 161 246 287 322 457 483 574 719 861 914 943 966 1371 1438 1722 1886 2157 2742 2829 3199 4314 5033 5658 6398 6601 9597 10066 10511 13202 15099 16537 18737 19194 19803 21022 29479 30198 31533 33074 37474 39606 49611 56211 58958 63066 73577 88437 99222 112422 115759 131159 147154 176874 206353 220731 231518 262318 328583 347277 393477 412706 430951 441462 619059 657166 678017 694554 786954 861902 985749 1238118 1292853 1356034 1971498 2034051 2300081 2585706 3016657 4068102 4600162 4746119 6033314 6900243 7557409 9049971 9492238 13471903 13800486 14238357 15114818 18099942 22672227 26943806 28476714 40415709 45344454 52901863 80831418 94303321 105803726 158705589 188606642 282909963 309853769 317411178 565819926 619707538 929561307 1859122614 2168976383 4337952766 6506929149 13013858298