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13169495840400 = 243452201612
BaseRepresentation
bin1011111110100100001100…
…0111110001011010010000
31201121222202210211100110000
42333221003013301122100
53211232111413343100
644001552144410000
72526315245436444
oct277510307613220
951558683740400
1013169495840400
11421817408a339
121588405616900
13746b55331cc3
1433759ab42824
1517c87eae6900
hexbfa431f1690

13169495840400 has 225 divisors, whose sum is σ = 47266608217323. Its totient is φ = 3511691366400.

The previous prime is 13169495840381. The next prime is 13169495840443. The reversal of 13169495840400 is 404859496131.

The square root of 13169495840400 is 3628980.

It is a perfect power (a square), and thus also a powerful number.

13169495840400 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 4 + 9 + 584 + 0 + 40 + 0 = 666.

13169495840400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2351474064 + 13167144366336 = 48492^2 + 3628656^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 653206320 + ... + 653226480.

Almost surely, 213169495840400 is an apocalyptic number.

13169495840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13169495840400 is the 3628980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13169495840400

13169495840400 is an abundant number, since it is smaller than the sum of its proper divisors (34097112376923).

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

13169495840400 is an frugal number, since it uses more digits than its factorization.

13169495840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40352 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13169495840400 in words is "thirteen trillion, one hundred sixty-nine billion, four hundred ninety-five million, eight hundred forty thousand, four hundred".