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11980335352320 = 293451731372963
BaseRepresentation
bin1010111001010110001110…
…1000100000101000000000
31120102022100011120111110000
42232111203220200220000
53032241211322233240
641251405020240000
72344356610165116
oct256254350405000
946368304514400
1011980335352320
1138a9916a85a65
121415a520a0000
1368b98263cc9a
142d5bcc06dab6
1515b981848430
hexae563a20a00

11980335352320 has 1600 divisors, whose sum is σ = 48183299214336. Its totient is φ = 2830235074560.

The previous prime is 11980335352231. The next prime is 11980335352343. The reversal of 11980335352320 is 2325353308911.

11980335352320 is a `hidden beast` number, since 1 + 1 + 9 + 80 + 3 + 3 + 535 + 2 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4043311159 + ... + 4043314121.

Almost surely, 211980335352320 is an apocalyptic number.

11980335352320 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 11980335352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091649607168).

11980335352320 is an abundant number, since it is smaller than the sum of its proper divisors (36202963862016).

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

11980335352320 is a wasteful number, since it uses less digits than its factorization.

11980335352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 11980335352320 in words is "eleven trillion, nine hundred eighty billion, three hundred thirty-five million, three hundred fifty-two thousand, three hundred twenty".