Search a number
-
+
5305826314170 = 23552753793123
BaseRepresentation
bin100110100110101101111…
…1001001000011110111010
3200210020021011021120200000
41031031123321020132322
51143412313014023140
615141243555453430
71055222215353264
oct115153371103672
920706234246600
105305826314170
1117662086a4938
1271837a5b7276
132c644ccb8a45
14144b36604b34
159303b65aa30
hex4d35be487ba

5305826314170 has 96 divisors (see below), whose sum is σ = 14311294425792. Its totient is φ = 1414371290112.

The previous prime is 5305826314163. The next prime is 5305826314249. The reversal of 5305826314170 is 714136285035.

It is a happy number.

5305826314170 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 8 + 2 + 631 + 4 + 1 + 7 + 0 = 666.

It is a super-2 number, since 2×53058263141702 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6293229 + ... + 7086351.

It is an arithmetic number, because the mean of its divisors is an integer number (149075983602).

Almost surely, 25305826314170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305826314170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155647212896).

5305826314170 is an abundant number, since it is smaller than the sum of its proper divisors (9005468111622).

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

5305826314170 is a wasteful number, since it uses less digits than its factorization.

5305826314170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795898 (or 795886 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5305826314170 in words is "five trillion, three hundred five billion, eight hundred twenty-six million, three hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 2753 5506 8259 13765 16518 24777 27530 41295 49554 74331 82590 123885 148662 222993 247770 371655 445986 668979 743310 793123 1114965 1337958 1586246 2229930 2379369 3344895 3965615 4758738 6689790 7138107 7931230 11896845 14276214 21414321 23793690 35690535 42828642 64242963 71381070 107071605 128485926 192728889 214143210 321214815 385457778 642429630 963644445 1927288890 2183467619 4366935238 6550402857 10917338095 13100805714 19651208571 21834676190 32752014285 39302417142 58953625713 65504028570 98256042855 117907251426 176860877139 196512085710 294768128565 353721754278 530582631417 589536257130 884304385695 1061165262834 1768608771390 2652913157085 5305826314170