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13604315143680 = 293354128316963
BaseRepresentation
bin1100010111111000000001…
…0111110001111000000000
31210011120010010001121002000
43011332000113301320000
53240343114134044210
644533422555224000
72602610416514262
oct305760027617000
953146103047060
1013604315143680
114375615264638
121638735748000
13778b5c607c81
14350649415b32
15188d2d27aac0
hexc5f805f1e00

13604315143680 has 640 divisors, whose sum is σ = 49680135267840. Its totient is φ = 3526619627520.

The previous prime is 13604315143673. The next prime is 13604315143681. The reversal of 13604315143680 is 8634151340631.

13604315143680 is a `hidden beast` number, since 1 + 3 + 60 + 4 + 3 + 151 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13604315143681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801990879 + ... + 802007841.

It is an arithmetic number, because the mean of its divisors is an integer number (77625211356).

Almost surely, 213604315143680 is an apocalyptic number.

13604315143680 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 13604315143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840067633920).

13604315143680 is an abundant number, since it is smaller than the sum of its proper divisors (36075820124160).

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

13604315143680 is a wasteful number, since it uses less digits than its factorization.

13604315143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319 (or 17297 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13604315143680 in words is "thirteen trillion, six hundred four billion, three hundred fifteen million, one hundred forty-three thousand, six hundred eighty".