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66882601680 = 2435312289987
BaseRepresentation
bin111110010010100000…
…111000001011010000
320101122011102012022120
4332102200320023100
52043433421223210
650420410134240
74555261506546
oct762240701320
9211564365276
1066882601680
1126401537624
1210b66a21380
1363cb63a46b
1433469add96
151b16acc270
hexf928382d0

66882601680 has 120 divisors (see below), whose sum is σ = 214240814496. Its totient is φ = 17259966720.

The previous prime is 66882601657. The next prime is 66882601691. The reversal of 66882601680 is 8610628866.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85647 + ... + 375633.

Almost surely, 266882601680 is an apocalyptic number.

66882601680 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 66882601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107120407248).

66882601680 is an abundant number, since it is smaller than the sum of its proper divisors (147358212816).

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

66882601680 is a wasteful number, since it uses less digits than its factorization.

66882601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290065 (or 290028 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 66882601680 in words is "sixty-six billion, eight hundred eighty-two million, six hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5766 7440 7688 9610 11532 14415 15376 19220 23064 28830 38440 46128 57660 76880 115320 230640 289987 579974 869961 1159948 1449935 1739922 2319896 2899870 3479844 4349805 4639792 5799740 6959688 8699610 8989597 11599480 13919376 17399220 17979194 23198960 26968791 34798440 35958388 44947985 53937582 69596880 71916776 89895970 107875164 134843955 143833552 179791940 215750328 269687910 278677507 359583880 431500656 539375820 557355014 719167760 836032521 1078751640 1114710028 1393387535 1672065042 2157503280 2229420056 2786775070 3344130084 4180162605 4458840112 5573550140 6688260168 8360325210 11147100280 13376520336 16720650420 22294200560 33441300840 66882601680