Search a number
-
+
66412013322375 = 335376146083451
BaseRepresentation
bin11110001100110110000000…
…11101101000000010000111
322201010221000101200110002000
433012123000131220002013
532201043300402304000
6353125131400520343
716663052413052250
oct1706330035500207
9281127011613060
1066412013322375
111a1851a4187856
127547114a800b3
132b0981a396ca6
141258503db3b27
157a27dee37000
hex3c66c0768087

66412013322375 has 128 divisors (see below), whose sum is σ = 142630127278080. Its totient is φ = 29862075600000.

The previous prime is 66412013322289. The next prime is 66412013322377. The reversal of 66412013322375 is 57322331021466.

It is a happy number.

66412013322375 is a `hidden beast` number, since 6 + 6 + 4 + 120 + 133 + 22 + 375 = 666.

It is not a de Polignac number, because 66412013322375 - 27 = 66412013322247 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66412013322375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66412013322377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21600601 + ... + 24482850.

It is an arithmetic number, because the mean of its divisors is an integer number (1114297869360).

Almost surely, 266412013322375 is an apocalyptic number.

66412013322375 is an abundant number, since it is smaller than the sum of its proper divisors (76218113955705).

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

66412013322375 is a wasteful number, since it uses less digits than its factorization.

66412013322375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46083543 (or 46083527 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 66412013322375 in words is "sixty-six trillion, four hundred twelve billion, thirteen million, three hundred twenty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 61 63 75 105 125 135 175 183 189 225 305 315 375 427 525 549 675 875 915 945 1125 1281 1525 1575 1647 2135 2625 2745 3375 3843 4575 4725 6405 7625 7875 8235 10675 11529 13725 19215 22875 23625 32025 41175 53375 57645 68625 96075 160125 205875 288225 480375 1441125 46083451 138250353 230417255 322584157 414751059 691251765 967752471 1152086275 1244253177 1612920785 2073755295 2811090511 2903257413 3456258825 4838762355 5760431375 6221265885 8064603925 8433271533 8709772239 10368776475 14055452555 14516287065 17281294125 19677633577 24193811775 25299814599 31106329425 40323019625 42166357665 43548861195 51843882375 59032900731 70277262775 72581435325 75899443797 98388167885 120969058875 126499072995 155531647125 177098702193 210831788325 217744305975 295164503655 351386313875 362907176625 379497218985 491940839425 531296106579 632495364975 885493510965 1054158941625 1088721529875 1475822518275 1897486094925 2459704197125 2656480532895 3162476824875 4427467554825 7379112591375 9487430474625 13282402664475 22137337774125 66412013322375