Search a number
-
+
13409660436480 = 21833572111937
BaseRepresentation
bin1100001100100010111000…
…0011000000000000000000
31202110221200021212220211000
43003020232003000000000
53224200441032431410
644304151333252000
72552546613015300
oct303105603000000
952427607786730
1013409660436480
1143000067aaaa0
121606a70194000
137636aa843159
143450611d9600
15183c39216dc0
hexc322e0c0000

13409660436480 has 3648 divisors, whose sum is σ = 65410884979200. Its totient is φ = 2568423997440.

The previous prime is 13409660436401. The next prime is 13409660436521. The reversal of 13409660436480 is 8463406690431.

It is a happy number.

13409660436480 is a `hidden beast` number, since 1 + 3 + 40 + 96 + 6 + 0 + 4 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3648).

It is a super-2 number, since 2×134096604364802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362423255022 + ... + 362423255058.

It is an arithmetic number, because the mean of its divisors is an integer number (17930615400).

Almost surely, 213409660436480 is an apocalyptic number.

13409660436480 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 13409660436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32705442489600).

13409660436480 is an abundant number, since it is smaller than the sum of its proper divisors (52001224542720).

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

13409660436480 is an equidigital number, since it uses as much as digits as its factorization.

13409660436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 13409660436480 in words is "thirteen trillion, four hundred nine billion, six hundred sixty million, four hundred thirty-six thousand, four hundred eighty".