Search a number
-
+
56253173706 = 2351743158341
BaseRepresentation
bin110100011000111100…
…110100111111001010
312101012101021022100000
4310120330310333022
51410201303024311
641501540423430
74031002041612
oct643074647712
9171171238300
1056253173706
11219474a5004
12aa9b0a7b76
1353c641c902
142a19003a42
1516e383c056
hexd18f34fca

56253173706 has 96 divisors (see below), whose sum is σ = 136944295488. Its totient is φ = 17237525760.

The previous prime is 56253173701. The next prime is 56253173731. The reversal of 56253173706 is 60737135265.

56253173706 is a `hidden beast` number, since 5 + 625 + 3 + 17 + 3 + 7 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56253173701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276096 + ... + 434436.

It is an arithmetic number, because the mean of its divisors is an integer number (1426503078).

Almost surely, 256253173706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56253173706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68472147744).

56253173706 is an abundant number, since it is smaller than the sum of its proper divisors (80691121782).

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

56253173706 is a wasteful number, since it uses less digits than its factorization.

56253173706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158418 (or 158406 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 56253173706 in words is "fifty-six billion, two hundred fifty-three million, one hundred seventy-three thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 86 102 129 153 162 243 258 306 387 459 486 731 774 918 1161 1377 1462 2193 2322 2754 3483 4131 4386 6579 6966 8262 10449 13158 19737 20898 39474 59211 118422 158341 177633 316682 355266 475023 950046 1425069 2691797 2850138 4275207 5383594 6808663 8075391 8550414 12825621 13617326 16150782 20425989 24226173 25651242 38476863 40851978 48452346 61277967 72678519 76953726 115747271 122555934 145357038 183833901 218035557 231494542 347241813 367667802 436071114 551501703 654106671 694483626 1041725439 1103003406 1308213342 1654505109 2083450878 3125176317 3309010218 6250352634 9375528951 18751057902 28126586853 56253173706