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13047485022000 = 24355311131941241
BaseRepresentation
bin1011110111011101101010…
…1101011011111100110000
31201012022211122221120200000
42331313122231123330300
53202232222131201000
643425533141230000
72514435561543642
oct275673255337460
951168748846600
1013047485022000
114180453169630
121568834402300
137384ac683380
14331704726892
151795dd343000
hexbdddab5bf30

13047485022000 has 3840 divisors, whose sum is σ = 60116212316160. Its totient is φ = 2687385600000.

The previous prime is 13047485021999. The next prime is 13047485022037. The reversal of 13047485022000 is 22058474031.

It is a happy number.

13047485022000 is a `hidden beast` number, since 1 + 304 + 74 + 85 + 0 + 2 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 54138941880 + ... + 54138942120.

It is an arithmetic number, because the mean of its divisors is an integer number (15655263624).

Almost surely, 213047485022000 is an apocalyptic number.

13047485022000 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 13047485022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30058106158080).

13047485022000 is an abundant number, since it is smaller than the sum of its proper divisors (47068727294160).

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

13047485022000 is a wasteful number, since it uses less digits than its factorization.

13047485022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13047485022000 in words is "thirteen trillion, forty-seven billion, four hundred eighty-five million, twenty-two thousand".