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1130623746048 = 21432234147173
BaseRepresentation
bin10000011100111110011…
…011010100000000000000
311000002100010001020211100
4100130332123110000000
5122011004134333143
62223222410414400
7144453624162666
oct20347633240000
94002303036740
101130623746048
113a65496a1725
12163157731400
1382804461474
143ca186bac36
151e6242386d3
hex1073e6d4000

1130623746048 has 720 divisors, whose sum is σ = 3586171470336. Its totient is φ = 342223749120.

The previous prime is 1130623745989. The next prime is 1130623746053. The reversal of 1130623746048 is 8406473260311.

1130623746048 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 2 + 37 + 4 + 604 + 8 = 666.

It is a super-2 number, since 2×11306237460482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130623745994 and 1130623746012.

It is a congruent number.

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, 6535397290 + ... + 6535397462.

Almost surely, 21130623746048 is an apocalyptic number.

1130623746048 is a gapful number since it is divisible by the number (18) 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 1130623746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793085735168).

1130623746048 is an abundant number, since it is smaller than the sum of its proper divisors (2455547724288).

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

1130623746048 is a wasteful number, since it uses less digits than its factorization.

1130623746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1130623746048 in words is "one trillion, one hundred thirty billion, six hundred twenty-three million, seven hundred forty-six thousand, forty-eight".