Search a number
-
+
620063061264 = 2432113261714561
BaseRepresentation
bin10010000010111101010…
…00110111010100010000
32012021111021001011112100
421001132220313110100
540124342120430024
61152504131200400
762540512026003
oct11013650672420
92167437034470
10620063061264
11219a70484469
12a0209a46100
13466194145aa
1422022aa353a
15111e13e37c9
hex905ea37510

620063061264 has 120 divisors (see below), whose sum is σ = 1751461383672. Its totient is φ = 204766248960.

The previous prime is 620063061227. The next prime is 620063061269. The reversal of 620063061264 is 462160360026.

620063061264 is a `hidden beast` number, since 6 + 2 + 0 + 0 + 6 + 30 + 612 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201852518400 + 418210542864 = 449280^2 + 646692^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (620063061269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42576544 + ... + 42591104.

Almost surely, 2620063061264 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 620063061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875730691836).

620063061264 is an abundant number, since it is smaller than the sum of its proper divisors (1131398322408).

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

620063061264 is a wasteful number, since it uses less digits than its factorization.

620063061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 620063061264 in words is "six hundred twenty billion, sixty-three million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2617 2712 4068 5234 5424 7851 8136 10468 14561 15702 16272 20936 23553 29122 31404 41872 43683 47106 58244 62808 87366 94212 116488 125616 131049 174732 188424 232976 262098 295721 349464 376848 524196 591442 698928 887163 1048392 1182884 1645393 1774326 2096784 2365768 2661489 3290786 3548652 4731536 4936179 5322978 6581572 7097304 9872358 10645956 13163144 14194608 14808537 19744716 21291912 26326288 29617074 38106137 39489432 42583824 59234148 76212274 78978864 114318411 118468296 152424548 228636822 236936592 304849096 342955233 457273644 609698192 685910466 914547288 1371820932 1829094576 2743641864 4305993481 5487283728 8611986962 12917980443 17223973924 25835960886 34447947848 38753941329 51671921772 68895895696 77507882658 103343843544 155015765316 206687687088 310031530632 620063061264