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66954087240 = 23351732820631
BaseRepresentation
bin111110010110110001…
…100100101101001000
320101211010221001001220
4332112301210231020
52044110221242430
650431442242040
74560120231345
oct762661445510
9211733831056
1066954087240
11264389227a7
1210b86956320
1364103a9201
14335229b7cc
151b1ceed110
hexf96c64b48

66954087240 has 64 divisors (see below), whose sum is σ = 212677695360. Its totient is φ = 16804162560.

The previous prime is 66954087163. The next prime is 66954087247. The reversal of 66954087240 is 4278045966.

66954087240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×669540872403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (66954087247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16408276 + ... + 16412355.

It is an arithmetic number, because the mean of its divisors is an integer number (3323088990).

Almost surely, 266954087240 is an apocalyptic number.

66954087240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66954087240 is an abundant number, since it is smaller than the sum of its proper divisors (145723608120).

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

66954087240 is a wasteful number, since it uses less digits than its factorization.

66954087240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32820662 (or 32820658 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 66954087240 in words is "sixty-six billion, nine hundred fifty-four million, eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 32820631 65641262 98461893 131282524 164103155 196923786 262565048 328206310 393847572 492309465 557950727 656412620 787695144 984618930 1115901454 1312825240 1673852181 1969237860 2231802908 2789753635 3347704362 3938475720 4463605816 5579507270 6695408724 8369260905 11159014540 13390817448 16738521810 22318029080 33477043620 66954087240