Search a number
-
+
39820416272 = 24713211227571
BaseRepresentation
bin100101000101011110…
…110101010100010000
310210210011010201221022
4211011132311110100
51123023011310042
630143201415012
72606533645040
oct450536652420
9123704121838
1039820416272
111598465013a
12787393a468
1339a7ac5cc0
141cda7c1720
151080d61cd2
hex9457b5510

39820416272 has 160 divisors (see below), whose sum is σ = 95994522624. Its totient is φ = 15582067200.

The previous prime is 39820416269. The next prime is 39820416319. The reversal of 39820416272 is 27261402893.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69737747 + ... + 69738317.

Almost surely, 239820416272 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 39820416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47997261312).

39820416272 is an abundant number, since it is smaller than the sum of its proper divisors (56174106352).

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

39820416272 is a wasteful number, since it uses less digits than its factorization.

39820416272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 39820416272 in words is "thirty-nine billion, eight hundred twenty million, four hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 211 227 364 422 454 571 728 844 908 1142 1456 1477 1589 1688 1816 2284 2743 2951 2954 3178 3376 3632 3997 4568 5486 5902 5908 6356 7423 7994 9136 10972 11804 11816 12712 14846 15988 19201 20657 21944 23608 23632 25424 29692 31976 38402 41314 43888 47216 47897 51961 59384 63952 76804 82628 95794 103922 118768 120481 129617 153608 165256 191588 207844 240962 259234 307216 330512 335279 383176 415688 481924 518468 622661 670558 766352 831376 843367 907319 963848 1036936 1245322 1341116 1566253 1685021 1686734 1814638 1927696 2073872 2490644 2682232 3132506 3370042 3373468 3629276 4358627 4981288 5364464 6265012 6740084 6746936 7258552 8717254 9962576 10963771 11795147 12530024 13480168 13493872 14517104 17434508 21927542 23590294 25060048 26960336 27349187 34869016 43855084 47180588 54698374 69738032 87710168 94361176 109396748 175420336 188722352 191444309 218793496 355539431 382888618 437586992 711078862 765777236 1422157724 1531554472 2488776017 2844315448 3063108944 4977552034 5688630896 9955104068 19910208136 39820416272