Search a number
-
+
6120507424572 = 22324128139737171
BaseRepresentation
bin101100100010000101010…
…1010111011111100111100
3210200010002200112000001100
41121010022222323330330
51300234244400041242
621003420003213100
71201122610502412
oct131041252737474
923603080460040
106120507424572
111a4a768975122
1282a241677190
133552136cb798
1417233c6a12b2
15a931d77154c
hex5910aabbf3c

6120507424572 has 144 divisors (see below), whose sum is σ = 15945523854624. Its totient is φ = 1978276608000.

The previous prime is 6120507424567. The next prime is 6120507424573. The reversal of 6120507424572 is 2754247050216.

6120507424572 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 5 + 0 + 74 + 2 + 4 + 572 = 666.

It is a super-2 number, since 2×61205074245722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6120507424573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164639547 + ... + 164676717.

It is an arithmetic number, because the mean of its divisors is an integer number (110732804546).

Almost surely, 26120507424572 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 6120507424572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972761927312).

6120507424572 is an abundant number, since it is smaller than the sum of its proper divisors (9825016430052).

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

6120507424572 is a wasteful number, since it uses less digits than its factorization.

6120507424572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37900 (or 37895 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 6120507424572 in words is "six trillion, one hundred twenty billion, five hundred seven million, four hundred twenty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 281 369 397 492 562 738 794 843 1124 1191 1476 1588 1686 2382 2529 3372 3573 4764 5058 7146 10116 11521 14292 16277 23042 32554 34563 37171 46084 48831 65108 69126 74342 97662 103689 111513 111557 138252 146493 148684 195324 207378 223026 223114 292986 334539 334671 414756 446052 446228 585972 669078 669342 1004013 1338156 1338684 1524011 2008026 3048022 4016052 4572033 4573837 6096044 9144066 9147674 10445051 13716099 13721511 14756887 18288132 18295348 20890102 27432198 27443022 29513774 31335153 41164533 41780204 44270661 54864396 54886044 59027548 62670306 82329066 88541322 94005459 125340612 132811983 164658132 177082644 188010918 265623966 376021836 428247091 531247932 605032367 856494182 1210064734 1284741273 1712988364 1815097101 2420129468 2569482546 3630194202 3854223819 4146685247 5138965092 5445291303 7260388404 7708447638 8293370494 10890582606 12440055741 15416895276 16586740988 21781165212 24880111482 37320167223 49760222964 74640334446 149280668892 170014095127 340028190254 510042285381 680056380508 1020084570762 1530126856143 2040169141524 3060253712286 6120507424572