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1063106645040 = 2432511479729443
BaseRepresentation
bin11110111100001100001…
…10000000110000110000
310202122001201201011001200
433132012012000300300
5114404220300120130
62132215012531200
7136543526245626
oct17360606006060
93678051634050
101063106645040
1137a951a933a0
12152054320b00
137933453951b
1439651743516
151c9c1ac6760
hexf786180c30

1063106645040 has 480 divisors, whose sum is σ = 4018848777216. Its totient is φ = 249630474240.

The previous prime is 1063106645011. The next prime is 1063106645077. The reversal of 1063106645040 is 405466013601.

It is a happy number.

1063106645040 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 0 + 6 + 645 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10631066450402 (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 a junction number, because it is equal to n+sod(n) for n = 1063106644986 and 1063106645004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36092559 + ... + 36122001.

Almost surely, 21063106645040 is an apocalyptic number.

1063106645040 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 1063106645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009424388608).

1063106645040 is an abundant number, since it is smaller than the sum of its proper divisors (2955742132176).

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

1063106645040 is a wasteful number, since it uses less digits than its factorization.

1063106645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29617 (or 29608 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1063106645040 in words is "one trillion, sixty-three billion, one hundred six million, six hundred forty-five thousand, forty".