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1066201264260 = 223251113710973583
BaseRepresentation
bin11111000001111101000…
…11000011000010000100
310202221001101210002120100
433200332203003002010
5114432040010424020
62133450041204100
7140013314133246
oct17407643030204
93687041702510
101066201264260
1138119a8aa640
12152778790630
13797086cc362
143986673a096
151cb0360aa90
hexf83e8c3084

1066201264260 has 288 divisors, whose sum is σ = 3558142328832. Its totient is φ = 256280924160.

The previous prime is 1066201264253. The next prime is 1066201264333. The reversal of 1066201264260 is 624621026601.

1066201264260 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 0 + 1 + 2 + 642 + 6 + 0 = 666.

It is a super-2 number, since 2×10662012642602 (a number of 25 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 297570429 + ... + 297574011.

It is an arithmetic number, because the mean of its divisors is an integer number (12354660864).

Almost surely, 21066201264260 is an apocalyptic number.

1066201264260 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 1066201264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779071164416).

1066201264260 is an abundant number, since it is smaller than the sum of its proper divisors (2491941064572).

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

1066201264260 is a wasteful number, since it uses less digits than its factorization.

1066201264260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1066201264260 in words is "one trillion, sixty-six billion, two hundred one million, two hundred sixty-four thousand, two hundred sixty".