| Base | Representation |
|---|---|
| bin | 11000011011001011001101… |
| … | …010000111001100000000000 |
| 3 | 112002100022021121220110000000 |
| 4 | 120123023031100321200000 |
| 5 | 103034434314403111224 |
| 6 | 1020244155320000000 |
| 7 | 31424611003041165 |
| oct | 3033131520714000 |
| 9 | 462308247813000 |
| 10 | 107420575832064 |
| 11 | 312558a0677000 |
| 12 | 1006a9b1600000 |
| 13 | 47c2941b70861 |
| 14 | 1c7527db8806c |
| 15 | c643c7e7a0c9 |
| hex | 61b2cd439800 |
107420575832064 has 1536 divisors, whose sum is σ = 364646664345600. Its totient is φ = 31606879518720.
The previous prime is 107420575832057. The next prime is 107420575832069. The reversal of 107420575832064 is 460238575024701.
107420575832064 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 0 + 57 + 583 + 2 + 0 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×1074205758320642 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 107420575832064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107420575832069) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220576130829 + ... + 220576131315.
It is an arithmetic number, because the mean of its divisors is an integer number (237400172100).
Almost surely, 2107420575832064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 107420575832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182323332172800).
107420575832064 is an abundant number, since it is smaller than the sum of its proper divisors (257226088513536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107420575832064 is an frugal number, since it uses more digits than its factorization.
107420575832064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 600 (or 540 counting only the distinct ones).
The product of its (nonzero) digits is 11289600, while the sum is 54.
The spelling of 107420575832064 in words is "one hundred seven trillion, four hundred twenty billion, five hundred seventy-five million, eight hundred thirty-two thousand, sixty-four".
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