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13446489732 = 22313210364373
BaseRepresentation
bin11001000010111100…
…10010011010000100
31021201002221110020020
430201132102122010
5210014300132412
610102140535140
7654134163654
oct144136223204
937632843206
1013446489732
115780213835
1227332514b0
131363a3ca00
14917b92364
1553a74a18c
hex321792684

13446489732 has 72 divisors (see below), whose sum is σ = 34304647104. Its totient is φ = 4097149056.

The previous prime is 13446489671. The next prime is 13446489733. The reversal of 13446489732 is 23798464431.

It is a happy number.

It is a super-2 number, since 2×134464897322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13446489733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176698 + ... + 241070.

It is an arithmetic number, because the mean of its divisors is an integer number (476453432).

Almost surely, 213446489732 is an apocalyptic number.

13446489732 is a gapful number since it is divisible by the number (12) 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 13446489732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152323552).

13446489732 is an abundant number, since it is smaller than the sum of its proper divisors (20858157372).

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

13446489732 is a wasteful number, since it uses less digits than its factorization.

13446489732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64509 (or 64494 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

Subtracting from 13446489732 its sum of digits (51), we obtain a square (13446489681 = 1159592).

The spelling of 13446489732 in words is "thirteen billion, four hundred forty-six million, four hundred eighty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 169 206 309 338 412 507 618 676 1014 1236 1339 2028 2678 4017 5356 8034 16068 17407 34814 52221 64373 69628 104442 128746 193119 208884 257492 386238 772476 836849 1673698 2510547 3347396 5021094 6630419 10042188 10879037 13260838 19891257 21758074 26521676 32637111 39782514 43516148 65274222 79565028 86195447 130548444 172390894 258586341 344781788 517172682 1034345364 1120540811 2241081622 3361622433 4482163244 6723244866 13446489732