| Base | Representation |
|---|---|
| bin | 100010001000010011011… |
| … | …000011011001110000000 |
| 3 | 22022012211101012020211000 |
| 4 | 202020103120123032000 |
| 5 | 301411313043014124 |
| 6 | 4553241303252000 |
| 7 | 331306431142500 |
| oct | 42102330331600 |
| 9 | 8265741166730 |
| 10 | 2345377313664 |
| 11 | 82473a393500 |
| 12 | 31a67214a000 |
| 13 | 140225501628 |
| 14 | 817343dba00 |
| 15 | 4101e2ab6c9 |
| hex | 2221361b380 |
2345377313664 has 1152 divisors, whose sum is σ = 9372863354400. Its totient is φ = 573269114880.
The previous prime is 2345377313641. The next prime is 2345377313687. The reversal of 2345377313664 is 4663137735432.
2345377313664 is a `hidden beast` number, since 2 + 3 + 4 + 537 + 73 + 1 + 36 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (2345377313641) and next prime (2345377313687).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×23453773136642 (a number of 26 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 2345377313664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 348337242 + ... + 348343974.
Almost surely, 22345377313664 is an apocalyptic number.
2345377313664 is a gapful number since it is divisible by the number (24) 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 2345377313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686431677200).
2345377313664 is an abundant number, since it is smaller than the sum of its proper divisors (7027486040736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345377313664 is a wasteful number, since it uses less digits than its factorization.
2345377313664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6809 (or 6773 counting only the distinct ones).
The product of its digits is 22861440, while the sum is 54.
The spelling of 2345377313664 in words is "two trillion, three hundred forty-five billion, three hundred seventy-seven million, three hundred thirteen thousand, six hundred sixty-four".
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