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61401678824112 = 24311235056132973
BaseRepresentation
bin11011111011000001100010…
…10000010100001010110000
322001101221110120101102011220
431331200301100110022300
531022001114234332422
6334331313012105040
715635060561363424
oct1575406120241260
9261357416342156
1061401678824112
111862333aa59840
126a78082005180
1328351cc2291c3
141123bddcb4b84
157172ea2d1e5c
hex37d8314142b0

61401678824112 has 80 divisors (see below), whose sum is σ = 180564620767488. Its totient is φ = 17797588061440.

The previous prime is 61401678824093. The next prime is 61401678824141. The reversal of 61401678824112 is 21142887610416.

It is a happy number.

It is a super-3 number, since 3×614016788241123 (a number of 42 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2528054343 + ... + 2528078630.

Almost surely, 261401678824112 is an apocalyptic number.

It is an amenable number.

61401678824112 is an abundant number, since it is smaller than the sum of its proper divisors (119162941943376).

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

61401678824112 is a wasteful number, since it uses less digits than its factorization.

61401678824112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056133018 (or 5056133012 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 61401678824112 in words is "sixty-one trillion, four hundred one billion, six hundred seventy-eight million, eight hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 5056132973 10112265946 15168398919 20224531892 30336797838 40449063784 55617462703 60673595676 80898127568 111234925406 116291058379 121347191352 166852388109 222469850812 232582116758 242694382704 333704776218 348873175137 444939701624 465164233516 667409552436 697746350274 889879403248 930328467032 1279201642169 1334819104872 1395492700548 1860656934064 2558403284338 2669638209744 2790985401096 3837604926507 5116806568676 5581970802192 7675209853014 10233613137352 15350419706028 20467226274704 30700839412056 61401678824112