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1011601483344 = 243216937414773
BaseRepresentation
bin11101011100010000010…
…01011010011001010000
310120201010020122211202100
432232020021122121100
5113033224434431334
62052420122320400
7133041266506434
oct16561011323120
93521106584670
101011601483344
11360021735061
1214407b359100
13745169bac9a
1436d671689c4
151b4aa017c99
hexeb8825a650

1011601483344 has 60 divisors (see below), whose sum is σ = 2831253130836. Its totient is φ = 337179772416.

The previous prime is 1011601483339. The next prime is 1011601483363. The reversal of 1011601483344 is 4433841061101.

1011601483344 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 601 + 4 + 8 + 3 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 558887817744 + 452713665600 = 747588^2 + 672840^2 .

It is a super-2 number, since 2×10116014833442 (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 = 1011601483299 and 1011601483308.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2231542 + ... + 2646314.

Almost surely, 21011601483344 is an apocalyptic number.

It is an amenable number.

1011601483344 is an abundant number, since it is smaller than the sum of its proper divisors (1819651647492).

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

1011601483344 is a wasteful number, since it uses less digits than its factorization.

1011601483344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431724 (or 431715 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1011601483344 in words is "one trillion, eleven billion, six hundred one million, four hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16937 33874 50811 67748 101622 135496 152433 203244 270992 304866 406488 414773 609732 812976 829546 1219464 1244319 1659092 2438928 2488638 3318184 3732957 4977276 6636368 7465914 9954552 14931828 19909104 29863656 59727312 7025010301 14050020602 21075030903 28100041204 42150061806 56200082408 63225092709 84300123612 112400164816 126450185418 168600247224 252900370836 337200494448 505800741672 1011601483344