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36074939586144 = 2532233131682753
BaseRepresentation
bin10000011001111010110011…
…11101011001011001100000
311201201201201120021201120220
420030331121331121121200
514212022434013224034
6204420333133403040
710412220430025004
oct1014753175313140
9151651646251526
1036074939586144
1110549328a19778
124067694339480
131718b103b1b14
148ca071c08704
154285d2d43749
hex20cf59f59660

36074939586144 has 48 divisors (see below), whose sum is σ = 94697196742512. Its totient is φ = 12024918867968.

The previous prime is 36074939586109. The next prime is 36074939586149. The reversal of 36074939586144 is 44168593947063.

36074939586144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×360749395861442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36074939586149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20596672 + ... + 22279424.

It is an arithmetic number, because the mean of its divisors is an integer number (1972858265469).

Almost surely, 236074939586144 is an apocalyptic number.

It is an amenable number.

36074939586144 is an abundant number, since it is smaller than the sum of its proper divisors (58622257156368).

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

36074939586144 is a wasteful number, since it uses less digits than its factorization.

36074939586144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906079 (or 1906071 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 36074939586144 in words is "thirty-six trillion, seventy-four billion, nine hundred thirty-nine million, five hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223313 446626 669939 893252 1339878 1682753 1786504 2679756 3365506 3573008 5048259 5359512 6731012 7146016 10096518 10719024 13462024 20193036 21438048 26924048 40386072 53848096 80772144 161544288 375780620689 751561241378 1127341862067 1503122482756 2254683724134 3006244965512 4509367448268 6012489931024 9018734896536 12024979862048 18037469793072 36074939586144