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11145804939360 = 25325713416171479
BaseRepresentation
bin1010001000110001010110…
…1111101000000001100000
31110110112021022101000211200
42202030111233220001200
52430103102031024420
635412151225241200
72230154302545150
oct242142557500140
943415238330750
1011145804939360
113607a003549a3
12130016b633200
1362b077836ac0
142a7661b18760
15144ddbd32b90
hexa2315be8060

11145804939360 has 2304 divisors, whose sum is σ = 49529949880320. Its totient is φ = 2220244992000.

The previous prime is 11145804939349. The next prime is 11145804939371. The reversal of 11145804939360 is 6393940854111.

11145804939360 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 8 + 0 + 493 + 93 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11145804939349) and next prime (11145804939371).

It is a junction number, because it is equal to n+sod(n) for n = 11145804939297 and 11145804939306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23268903601 + ... + 23268904079.

It is an arithmetic number, because the mean of its divisors is an integer number (21497374080).

Almost surely, 211145804939360 is an apocalyptic number.

11145804939360 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 11145804939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764974940160).

11145804939360 is an abundant number, since it is smaller than the sum of its proper divisors (38384144940960).

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

11145804939360 is a wasteful number, since it uses less digits than its factorization.

11145804939360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 11145804939360 in words is "eleven trillion, one hundred forty-five billion, eight hundred four million, nine hundred thirty-nine thousand, three hundred sixty".