Search a number
-
+
72983803256 = 23713227772
BaseRepresentation
bin100001111111000101…
…1000111010101111000
320222101100220100110022
41003332023013111320
52143432323201011
653310040110012
75162415043340
oct1037613072570
9228340810408
1072983803256
1128a524aa681
121218a165308
136b6167a900
143765003d20
151d725558db
hex10fe2c7578

72983803256 has 72 divisors (see below), whose sum is σ = 169410573720. Its totient is φ = 28862316288.

The previous prime is 72983803157. The next prime is 72983803301. The reversal of 72983803256 is 65230838927.

It is a junction number, because it is equal to n+sod(n) for n = 72983803198 and 72983803207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26280140 + ... + 26282916.

It is an arithmetic number, because the mean of its divisors is an integer number (2352924635).

Almost surely, 272983803256 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 72983803256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84705286860).

72983803256 is an abundant number, since it is smaller than the sum of its proper divisors (96426770464).

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

72983803256 is an equidigital number, since it uses as much as digits as its factorization.

72983803256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 72983803256 in words is "seventy-two billion, nine hundred eighty-three million, eight hundred three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 2777 4732 5554 9464 11108 19439 22216 36101 38878 72202 77756 144404 155512 252707 288808 469313 505414 938626 1010828 1877252 2021656 3285191 3754504 6570382 7711729 13140764 15423458 26281528 30846916 53982103 61693832 100252477 107964206 200504954 215928412 401009908 431856824 701767339 802019816 1303282201 1403534678 2606564402 2807069356 5213128804 5614138712 9122975407 10426257608 18245950814 36491901628 72983803256