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135163441616 = 2473120120507
BaseRepresentation
bin111110111100001011…
…1100111000111010000
3110220212202212020221012
41331320113213013100
54203303320112431
6142032045350052
712523322204000
oct1757027470720
9426782766835
10135163441616
115236026a255
1222241b68328
13c99085a528
146783154000
1537b130222b
hex1f785e71d0

135163441616 has 80 divisors (see below), whose sum is σ = 305667638400. Its totient is φ = 57876134400.

The previous prime is 135163441613. The next prime is 135163441619. The reversal of 135163441616 is 616144361531.

It is an interprime number because it is at equal distance from previous prime (135163441613) and next prime (135163441619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135163441613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6580835 + ... + 6601341.

It is an arithmetic number, because the mean of its divisors is an integer number (3820845480).

Almost surely, 2135163441616 is an apocalyptic number.

135163441616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135163441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152833819200).

135163441616 is an abundant number, since it is smaller than the sum of its proper divisors (170504196784).

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

135163441616 is a wasteful number, since it uses less digits than its factorization.

135163441616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737 (or 21717 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The spelling of 135163441616 in words is "one hundred thirty-five billion, one hundred sixty-three million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1201 1372 2402 2744 4804 5488 8407 9608 16814 19216 20507 33628 41014 58849 67256 82028 117698 134512 143549 164056 235396 287098 328112 411943 470792 574196 823886 941584 1004843 1148392 1647772 2009686 2296784 3295544 4019372 6591088 7033901 8038744 14067802 16077488 24628907 28135604 49257814 56271208 98515628 112542416 172402349 197031256 344804698 394062512 689609396 1206816443 1379218792 2413632886 2758437584 4827265772 8447715101 9654531544 16895430202 19309063088 33790860404 67581720808 135163441616