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66591440700 = 22352679773391
BaseRepresentation
bin111110000001001010…
…001011111100111100
320100212212112200112120
4332001022023330330
52042334402100300
650331445402540
74545124622661
oct760112137474
9210785480476
1066591440700
1126272150014
1210aa5409450
136383215965
14331a05ba68
151aeb2673a0
hexf8128bf3c

66591440700 has 144 divisors (see below), whose sum is σ = 195804801024. Its totient is φ = 17469619200.

The previous prime is 66591440689. The next prime is 66591440717. The reversal of 66591440700 is 704419566.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19636005 + ... + 19639395.

Almost surely, 266591440700 is an apocalyptic number.

66591440700 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 66591440700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97902400512).

66591440700 is an abundant number, since it is smaller than the sum of its proper divisors (129213360324).

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

66591440700 is a wasteful number, since it uses less digits than its factorization.

66591440700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 66591440700 in words is "sixty-six billion, five hundred ninety-one million, four hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 977 1005 1340 1675 1954 2010 2931 3350 3391 3908 4020 4885 5025 5862 6700 6782 9770 10050 10173 11724 13564 14655 16955 19540 20100 20346 24425 29310 33910 40692 48850 50865 58620 65459 67820 73275 84775 97700 101730 130918 146550 169550 196377 203460 227197 254325 261836 293100 327295 339100 392754 454394 508650 654590 681591 785508 908788 981885 1017300 1135985 1309180 1363182 1636475 1963770 2271970 2726364 3272950 3313007 3407955 3927540 4543940 4909425 5679925 6545900 6626014 6815910 9818850 9939021 11359850 13252028 13631820 16565035 17039775 19637700 19878042 22719700 33130070 34079550 39756084 49695105 66260140 68159100 82825175 99390210 165650350 198780420 221971469 248475525 331300700 443942938 496951050 665914407 887885876 993902100 1109857345 1331828814 2219714690 2663657628 3329572035 4439429380 5549286725 6659144070 11098573450 13318288140 16647860175 22197146900 33295720350 66591440700