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66384536240 = 245111719233551
BaseRepresentation
bin111101110100110100…
…111010001010110000
320100100110012211222102
4331310310322022300
52041423420124430
650255134555532
74540033150661
oct756464721260
9210313184872
1066384536240
11261763816a0
1210a48068ba8
13634c3b1a99
1432da79d368
151ad7ee7345
hexf74d3a2b0

66384536240 has 160 divisors (see below), whose sum is σ = 187663703040. Its totient is φ = 21523968000.

The previous prime is 66384536203. The next prime is 66384536263. The reversal of 66384536240 is 4263548366.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167465 + ... + 401015.

It is an arithmetic number, because the mean of its divisors is an integer number (1172898144).

Almost surely, 266384536240 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 66384536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93831851520).

66384536240 is an abundant number, since it is smaller than the sum of its proper divisors (121279166800).

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

66384536240 is a wasteful number, since it uses less digits than its factorization.

66384536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233611 (or 233605 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 66384536240 in words is "sixty-six billion, three hundred eighty-four million, five hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 19 20 22 34 38 40 44 55 68 76 80 85 88 95 110 136 152 170 176 187 190 209 220 272 304 323 340 374 380 418 440 646 680 748 760 836 880 935 1045 1292 1360 1496 1520 1615 1672 1870 2090 2584 2992 3230 3344 3553 3740 4180 5168 6460 7106 7480 8360 12920 14212 14960 16720 17765 25840 28424 35530 56848 71060 142120 233551 284240 467102 934204 1167755 1868408 2335510 2569061 3736816 3970367 4437469 4671020 5138122 7940734 8874938 9342040 10276244 12845305 15881468 17749876 18684080 19851835 20552488 22187345 25690610 31762936 35499752 39703670 41104976 43674037 44374690 48812159 51381220 63525872 70999504 75436973 79407340 87348074 88749380 97624318 102762440 150873946 158814680 174696148 177498760 195248636 205524880 218370185 244060795 301747892 317629360 349392296 354997520 377184865 390497272 436740370 488121590 603495784 698784592 754369730 780994544 829806703 873480740 976243180 1206991568 1508739460 1659613406 1746961480 1952486360 3017478920 3319226812 3493922960 3904972720 4149033515 6034957840 6638453624 8298067030 13276907248 16596134060 33192268120 66384536240