Search a number
-
+
4623234467985 = 325717863349107
BaseRepresentation
bin100001101000110111000…
…1111111000100010010001
3121100222101011022000121200
41003101232033320202101
51101221341010433420
613455515023341413
7655006026402630
oct103215617704221
917328334260550
104623234467985
111522780369921
1262801ba51869
13276c7a279c43
1411daa12a7517
15803da9eeb90
hex4346e3f8891

4623234467985 has 48 divisors (see below), whose sum is σ = 9697137181056. Its totient is φ = 1989156340224.

The previous prime is 4623234467977. The next prime is 4623234468029. The reversal of 4623234467985 is 5897644323264.

It is a happy number.

4623234467985 is a `hidden beast` number, since 4 + 6 + 23 + 23 + 446 + 79 + 85 = 666.

It is not a de Polignac number, because 4623234467985 - 23 = 4623234467977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 431669199 + ... + 431679908.

It is an arithmetic number, because the mean of its divisors is an integer number (202023691272).

Almost surely, 24623234467985 is an apocalyptic number.

4623234467985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4623234467985 is an abundant number, since it is smaller than the sum of its proper divisors (5073902713071).

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

4623234467985 is a wasteful number, since it uses less digits than its factorization.

4623234467985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863349142 (or 863349139 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 4623234467985 in words is "four trillion, six hundred twenty-three billion, two hundred thirty-four million, four hundred sixty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 863349107 2590047321 4316745535 6043443749 7770141963 12950236605 14676934819 18130331247 30217218745 38850709815 44030804457 54390993741 73384674095 90651656235 102738543733 132092413371 220154022285 271954968705 308215631199 513692718665 660462066855 924646893597 1541078155995 4623234467985