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11671427980800 = 293352719318191
BaseRepresentation
bin1010100111010111011101…
…0100011001111000000000
31112022202222212212010002000
42221311313110121320000
53012211041030341200
640453440251224000
72313142602642330
oct251656724317000
945282885763060
1011671427980800
11379a9089046a5
121386001748000
136687c32c3553
142c4c85d490c0
151539021a8300
hexa9d77519e00

11671427980800 has 1920 divisors, whose sum is σ = 53205585100800. Its totient is φ = 2445520896000.

The previous prime is 11671427980763. The next prime is 11671427980801. The reversal of 11671427980800 is 808972417611.

11671427980800 is a `hidden beast` number, since 1 + 1 + 67 + 1 + 427 + 9 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×116714279808002 (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 not an unprimeable number, because it can be changed into a prime (11671427980801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1424904705 + ... + 1424912895.

It is an arithmetic number, because the mean of its divisors is an integer number (27711242240).

Almost surely, 211671427980800 is an apocalyptic number.

11671427980800 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 11671427980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602792550400).

11671427980800 is an abundant number, since it is smaller than the sum of its proper divisors (41534157120000).

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

11671427980800 is a wasteful number, since it uses less digits than its factorization.

11671427980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 11671427980800 in words is "eleven trillion, six hundred seventy-one billion, four hundred twenty-seven million, nine hundred eighty thousand, eight hundred".