Search a number
-
+
66545603676 = 2233472733821
BaseRepresentation
bin111101111110011011…
…010101010001011100
320100202200021220222000
4331332123111101130
52042241133304201
650323131122300
74544030204226
oct757633252134
9210680256860
1066545603676
1126249292a82
1210a91ba3390
136376887366
143313d29416
151ae7210d86
hexf7e6d545c

66545603676 has 144 divisors (see below), whose sum is σ = 178735982880. Its totient is φ = 21406913280.

The previous prime is 66545603581. The next prime is 66545603699. The reversal of 66545603676 is 67630654566.

66545603676 is a `hidden beast` number, since 6 + 6 + 5 + 4 + 560 + 3 + 6 + 76 = 666.

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

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, 17413846 + ... + 17417666.

Almost surely, 266545603676 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 66545603676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89367991440).

66545603676 is an abundant number, since it is smaller than the sum of its proper divisors (112190379204).

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

66545603676 is a wasteful number, since it uses less digits than its factorization.

66545603676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 66545603676 in words is "sixty-six billion, five hundred forty-five million, six hundred three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 73 94 108 141 146 188 219 282 292 423 438 564 657 846 876 1269 1314 1692 1971 2209 2538 2628 3431 3821 3942 4418 5076 6627 6862 7642 7884 8836 10293 11463 13254 13724 15284 19881 20586 22926 26508 30879 34389 39762 41172 45852 59643 61758 68778 79524 92637 103167 119286 123516 137556 161257 179587 185274 206334 238572 278933 322514 359174 370548 412668 483771 538761 557866 645028 718348 836799 967542 1077522 1115732 1451313 1616283 1673598 1935084 2155044 2510397 2902626 3232566 3347196 4353939 4848849 5020794 5805252 6465132 7531191 8440589 8707878 9697698 10041588 13109851 15062382 16881178 17415756 19395396 25321767 26219702 30124764 33762356 39329553 50643534 52439404 75965301 78659106 101287068 117988659 151930602 157318212 227895903 235977318 303861204 353965977 455791806 471954636 616162997 707931954 911583612 1232325994 1415863908 1848488991 2464651988 3696977982 5545466973 7393955964 11090933946 16636400919 22181867892 33272801838 66545603676