Search a number
-
+
412504105530 = 2351123113480959
BaseRepresentation
bin1100000000010110010…
…10010010001000111010
31110102202010020202010110
412000023022102020322
523224302022334110
6513300214325150
741542144021116
oct6001312221072
91412663222113
10412504105530
11149a3a8a4a10
1267b429597b6
132cb8c06485a
1415d72b24746
15aae4543a20
hex600b29223a

412504105530 has 128 divisors (see below), whose sum is σ = 1136943267840. Its totient is φ = 94806440960.

The previous prime is 412504105493. The next prime is 412504105537. The reversal of 412504105530 is 35501405214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (412504105537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617191 + ... + 1098149.

It is an arithmetic number, because the mean of its divisors is an integer number (8882369280).

Almost surely, 2412504105530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412504105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568471633920).

412504105530 is an abundant number, since it is smaller than the sum of its proper divisors (724439162310).

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

412504105530 is a wasteful number, since it uses less digits than its factorization.

412504105530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481116.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 412504105530 in words is "four hundred twelve billion, five hundred four million, one hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 113 115 138 165 226 230 253 330 339 345 506 565 678 690 759 1130 1243 1265 1518 1695 2486 2530 2599 3390 3729 3795 5198 6215 7458 7590 7797 12430 12995 15594 18645 25990 28589 37290 38985 57178 77970 85767 142945 171534 285890 428835 480959 857670 961918 1442877 2404795 2885754 4809590 5290549 7214385 10581098 11062057 14428770 15871647 22124114 26452745 31743294 33186171 52905490 54348367 55310285 66372342 79358235 108696734 110620570 121682627 158716470 163045101 165930855 243365254 271741835 326090202 331861710 365047881 543483670 597832037 608413135 730095762 815225505 1195664074 1216826270 1250012441 1630451010 1793496111 1825239405 2500024882 2989160185 3586992222 3650478810 3750037323 5978320370 6250062205 7500074646 8967480555 12500124410 13750136851 17934961110 18750186615 27500273702 37500373230 41250410553 68750684255 82500821106 137501368510 206252052765 412504105530