Search a number
-
+
13477494159360 = 21132571117472377
BaseRepresentation
bin1100010000011111100101…
…0000000111100000000000
31202201102202202000002010200
43010013321100013200000
53231303402001044420
644355250401325200
72560500604111230
oct304077120074000
952642682002120
1013477494159360
114326856105aa0
121618041636800
13769bcb23580a
14348458231cc0
151858a956cb90
hexc41f9407800

13477494159360 has 2304 divisors, whose sum is σ = 63000694149120. Its totient is φ = 2578616156160.

The previous prime is 13477494159319. The next prime is 13477494159373. The reversal of 13477494159360 is 6395149477431.

13477494159360 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 74 + 9 + 415 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5669958492 + ... + 5669960868.

It is an arithmetic number, because the mean of its divisors is an integer number (27344051280).

Almost surely, 213477494159360 is an apocalyptic number.

13477494159360 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 13477494159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31500347074560).

13477494159360 is an abundant number, since it is smaller than the sum of its proper divisors (49523199989760).

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

13477494159360 is a wasteful number, since it uses less digits than its factorization.

13477494159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 13477494159360 in words is "thirteen trillion, four hundred seventy-seven billion, four hundred ninety-four million, one hundred fifty-nine thousand, three hundred sixty".