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1068020472960 = 273257191394137
BaseRepresentation
bin11111000101010101111…
…10110001110010000000
310210002202011221110202100
433202222332301302000
5114444301220113320
62134350345150400
7140106354142560
oct17425276616200
93702664843670
101068020472960
11381a43794001
12152ba5a8b400
13799385865cc
143999a1b2da0
151cbad1aa790
hexf8aafb1c80

1068020472960 has 384 divisors, whose sum is σ = 4436704771200. Its totient is φ = 231270432768.

The previous prime is 1068020472949. The next prime is 1068020472971. The reversal of 1068020472960 is 692740208601.

It is a happy number.

1068020472960 is a `hidden beast` number, since 10 + 6 + 80 + 2 + 0 + 472 + 96 + 0 = 666.

1068020472960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1068020472949) and next prime (1068020472971).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10680204729602 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 69012 + ... + 1463148.

It is an arithmetic number, because the mean of its divisors is an integer number (11553918675).

Almost surely, 21068020472960 is an apocalyptic number.

1068020472960 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 1068020472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218352385600).

1068020472960 is an abundant number, since it is smaller than the sum of its proper divisors (3368684298240).

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

1068020472960 is a wasteful number, since it uses less digits than its factorization.

1068020472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394188 (or 1394173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1068020472960 in words is "one trillion, sixty-eight billion, twenty million, four hundred seventy-two thousand, nine hundred sixty".