Search a number
-
+
6112406012310 = 2325136521380111
BaseRepresentation
bin101100011110010011111…
…0010100000000110010110
3210122100012002021121200100
41120330213302200012112
51300121201414343220
621000000041554530
71200415055565603
oct130744762400626
923570162247610
106112406012310
111a47290931194
128287604a5a46
1335452216c110
14171bb07596aa
15a8ee73e2d90
hex58f27ca0196

6112406012310 has 96 divisors (see below), whose sum is σ = 17115212919168. Its totient is φ = 1504550396160.

The previous prime is 6112406012299. The next prime is 6112406012327. The reversal of 6112406012310 is 132106042116.

It is a happy number.

6112406012310 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 40 + 601 + 2 + 3 + 10 = 666.

It is a super-2 number, since 2×61124060123102 (a number of 26 digits) contains 22 as substring.

It is a congruent 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, 76259155 + ... + 76339265.

It is an arithmetic number, because the mean of its divisors is an integer number (178283467908).

Almost surely, 26112406012310 is an apocalyptic number.

6112406012310 is an abundant number, since it is smaller than the sum of its proper divisors (11002806906858).

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

6112406012310 is a wasteful number, since it uses less digits than its factorization.

6112406012310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145350 (or 145347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 6112406012310 in words is "six trillion, one hundred twelve billion, four hundred six million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 65213 80111 130426 160222 195639 240333 326065 391278 400555 480666 586917 652130 720999 801110 847769 978195 1041443 1173834 1201665 1441998 1695538 1956390 2082886 2403330 2543307 2934585 3124329 3604995 4238845 5086614 5207215 5869170 6248658 7209990 7629921 8477690 9372987 10414430 12716535 15259842 15621645 18745974 25433070 31243290 38149605 46864935 76299210 93729870 5224278643 10448557286 15672835929 26121393215 31345671858 47018507787 52242786430 67915622359 78364179645 94037015574 135831244718 156728359290 203746867077 235092538935 339578111795 407493734154 470185077870 611240601231 679156223590 1018734335385 1222481202462 2037468670770 3056203006155 6112406012310