Search a number
-
+
4124664336 = 2431323287393
BaseRepresentation
bin1111010111011001…
…0110001000010000
3101122110021122202210
43311312112020100
531421403224321
61521141512120
7204133032312
oct36566261020
911573248683
104124664336
1118272a1401
12971412640
135096bc6b0
142b1b257b2
1519219cb76
hexf5d96210

4124664336 has 80 divisors (see below), whose sum is σ = 11973983616. Its totient is φ = 1213943808.

The previous prime is 4124664331. The next prime is 4124664337. The reversal of 4124664336 is 6334664214.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4124664294 and 4124664303.

It is not an unprimeable number, because it can be changed into a prime (4124664331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129345 + ... + 158048.

Almost surely, 24124664336 is an apocalyptic number.

4124664336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4124664336 is an abundant number, since it is smaller than the sum of its proper divisors (7849319280).

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

4124664336 is a wasteful number, since it uses less digits than its factorization.

4124664336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287440 (or 287434 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 4124664336 is about 64223.5496994677. The cubic root of 4124664336 is about 1603.7236626541.

The spelling of 4124664336 in words is "four billion, one hundred twenty-four million, six hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 287393 574786 862179 1149572 1724358 2299144 3448716 3736109 4598288 6610039 6897432 7472218 11208327 13220078 13794864 14944436 19830117 22416654 26440156 29888872 39660234 44833308 52880312 59777744 79320468 85930507 89666616 105760624 158640936 171861014 179333232 257791521 317281872 343722028 515583042 687444056 1031166084 1374888112 2062332168 4124664336