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66305637630 = 23252322575419
BaseRepresentation
bin111101110000000111…
…111011110011111110
320100010221202101102200
4331300013323303332
52041243220401010
650243235532330
74535054422611
oct756007736376
9210127671380
1066305637630
1126135892a31
1210a2575a0a6
136338c48b0b
1432d0102178
151ad110ecc0
hexf701fbcfe

66305637630 has 144 divisors (see below), whose sum is σ = 180950580720. Its totient is φ = 16843825152.

The previous prime is 66305637623. The next prime is 66305637667. The reversal of 66305637630 is 3673650366.

66305637630 is a `hidden beast` number, since 6 + 6 + 3 + 0 + 5 + 6 + 3 + 7 + 630 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12233061 + ... + 12238479.

It is an arithmetic number, because the mean of its divisors is an integer number (1256601255).

Almost surely, 266305637630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66305637630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90475290360).

66305637630 is an abundant number, since it is smaller than the sum of its proper divisors (114644943090).

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

66305637630 is a wasteful number, since it uses less digits than its factorization.

66305637630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 66305637630 in words is "sixty-six billion, three hundred five million, six hundred thirty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 257 345 414 514 529 690 771 1035 1058 1285 1542 1587 2070 2313 2570 2645 3174 3855 4626 4761 5290 5419 5911 7710 7935 9522 10838 11565 11822 15870 16257 17733 23130 23805 27095 29555 32514 35466 47610 48771 53199 54190 59110 81285 88665 97542 106398 124637 135953 162570 177330 243855 249274 265995 271906 373911 407859 487710 531990 623185 679765 747822 815718 1121733 1223577 1246370 1359530 1392683 1869555 2039295 2243466 2447154 2785366 2866651 3739110 4078590 4178049 5608665 5733302 6117885 6963415 8356098 8599953 11217330 12235770 12534147 13926830 14333255 17199906 20890245 25068294 25799859 28666510 32031709 41780490 42999765 51599718 62670735 64063418 85999530 96095127 125341470 128999295 160158545 192190254 257998590 288285381 320317090 480475635 576570762 736729307 960951270 1441426905 1473458614 2210187921 2882853810 3683646535 4420375842 6630563763 7367293070 11050939605 13261127526 22101879210 33152818815 66305637630