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66204205680 = 24351779205399
BaseRepresentation
bin111101101010000101…
…000000001001110000
320022212212220002221210
4331222011000021300
52041041234040210
650225213520120
74532413314624
oct755205001160
9208785802853
1066204205680
1126093603678
12109b77a3040
136320c23602
1432c085b184
151ac7275e20
hexf6a140270

66204205680 has 160 divisors (see below), whose sum is σ = 220057344000. Its totient is φ = 16405549056.

The previous prime is 66204205651. The next prime is 66204205681. The reversal of 66204205680 is 8650240266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66204205681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219621 + ... + 425019.

It is an arithmetic number, because the mean of its divisors is an integer number (1375358400).

Almost surely, 266204205680 is an apocalyptic number.

66204205680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66204205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110028672000).

66204205680 is an abundant number, since it is smaller than the sum of its proper divisors (153853138320).

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

66204205680 is a wasteful number, since it uses less digits than its factorization.

66204205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205511 (or 205505 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 66204205680 in words is "sixty-six billion, two hundred four million, two hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 79 80 85 102 120 136 158 170 204 237 240 255 272 316 340 395 408 474 510 632 680 790 816 948 1020 1185 1264 1343 1360 1580 1896 2040 2370 2686 3160 3792 4029 4080 4740 5372 6320 6715 8058 9480 10744 13430 16116 18960 20145 21488 26860 32232 40290 53720 64464 80580 107440 161160 205399 322320 410798 616197 821596 1026995 1232394 1643192 2053990 2464788 3080985 3286384 3491783 4107980 4929576 6161970 6983566 8215960 9859152 10475349 12323940 13967132 16226521 16431920 17458915 20950698 24647880 27934264 32453042 34917830 41901396 48679563 49295760 52376745 55868528 64906084 69835660 81132605 83802792 97359126 104753490 129812168 139671320 162265210 167605584 194718252 209506980 243397815 259624336 275850857 279342640 324530420 389436504 419013960 486795630 551701714 649060840 778873008 827552571 838027920 973591260 1103403428 1298121680 1379254285 1655105142 1947182520 2206806856 2758508570 3310210284 3894365040 4137762855 4413613712 5517017140 6620420568 8275525710 11034034280 13240841136 16551051420 22068068560 33102102840 66204205680