Search a number
-
+
545006052717084 = 223371274815655019
BaseRepresentation
bin111101111101011100001110…
…0001011000011001000011100
32122110201001212212212200002000
41323322320130023003020130
51032413334343443421314
65211044154005202300
7222540250024154220
oct17372703413031034
92573631785780060
10545006052717084
11148723850531322
12511619a8400390
131a514b08cb84ba
1498826100d0780
154301cd13d9209
hex1efae1c2c321c

545006052717084 has 96 divisors (see below), whose sum is σ = 1614845701593600. Its totient is φ = 155714766042240.

The previous prime is 545006052717043. The next prime is 545006052717211. The reversal of 545006052717084 is 480717250600545.

It is a happy number.

545006052717084 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 0 + 605 + 27 + 1 + 7 + 0 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 545006052717084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93548127 + ... + 99203145.

It is an arithmetic number, because the mean of its divisors is an integer number (16821309391600).

Almost surely, 2545006052717084 is an apocalyptic number.

545006052717084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

545006052717084 is an abundant number, since it is smaller than the sum of its proper divisors (1069839648876516).

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

545006052717084 is a wasteful number, since it uses less digits than its factorization.

545006052717084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782520 (or 5782512 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 545006052717084 in words is "five hundred forty-five trillion, six billion, fifty-two million, seven hundred seventeen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 127481 254962 382443 509924 764886 892367 1147329 1529772 1784734 2294658 2677101 3441987 3569468 4589316 5354202 5655019 6883974 8031303 10708404 11310038 13767948 16062606 16965057 22620076 24093909 32125212 33930114 39585133 48187818 50895171 67860228 79170266 96375636 101790342 118755399 152685513 158340532 203580684 237510798 305371026 356266197 475021596 610742052 712532394 1068798591 1425064788 2137597182 4275194364 720907477139 1441814954278 2162722431417 2883629908556 4325444862834 5046352339973 6488167294251 8650889725668 10092704679946 12976334588502 15139057019919 19464501882753 20185409359892 25952669177004 30278114039838 38929003765506 45417171059757 60556228079676 77858007531012 90834342119514 136251513179271 181668684239028 272503026358542 545006052717084