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13544401020 = 22357315120479
BaseRepresentation
bin11001001110100111…
…10010100001111100
31021221221011212021020
430213103302201330
5210214331313040
610115555304140
7656433336423
oct144723624174
937857155236
1013544401020
115820508a57
12275bbab050
13137b101897
14926b9c2ba
1554413acd0
hex3274f287c

13544401020 has 96 divisors (see below), whose sum is σ = 38700318720. Its totient is φ = 3538598400.

The previous prime is 13544401001. The next prime is 13544401027. The reversal of 13544401020 is 2010444531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13544401027) 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, 651141 + ... + 671619.

It is an arithmetic number, because the mean of its divisors is an integer number (403128320).

Almost surely, 213544401020 is an apocalyptic number.

13544401020 is a gapful number since it is divisible by the number (10) 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 13544401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350159360).

13544401020 is an abundant number, since it is smaller than the sum of its proper divisors (25155917700).

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

13544401020 is a wasteful number, since it uses less digits than its factorization.

13544401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20715 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13544401020 its reverse (2010444531), we get a palindrome (15554845551).

The spelling of 13544401020 in words is "thirteen billion, five hundred forty-four million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 151 219 292 302 365 438 453 604 730 755 876 906 1095 1460 1510 1812 2190 2265 3020 4380 4530 9060 11023 20479 22046 33069 40958 44092 55115 61437 66138 81916 102395 110230 122874 132276 165345 204790 220460 245748 307185 330690 409580 614370 661380 1228740 1494967 2989934 3092329 4484901 5979868 6184658 7474835 8969802 9276987 12369316 14949670 15461645 17939604 18553974 22424505 29899340 30923290 37107948 44849010 46384935 61846580 89698020 92769870 185539740 225740017 451480034 677220051 902960068 1128700085 1354440102 2257400170 2708880204 3386100255 4514800340 6772200510 13544401020