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36402063444 = 22331917739797
BaseRepresentation
bin100001111001101110…
…110110100001010100
310110221220220102102000
4201321232312201110
51044022412012234
624420050315300
72426035301565
oct417156664124
9113856812360
1036402063444
111449001a05a
12707ab88b30
133581845716
141a947d816c
15e30bd1899
hex879bb6854

36402063444 has 48 divisors (see below), whose sum is σ = 99342868800. Its totient is φ = 11495387808.

The previous prime is 36402063437. The next prime is 36402063469. The reversal of 36402063444 is 44436020463.

36402063444 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 206 + 3 + 444 = 666.

36402063444 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-2 number, since 2×364020634442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36402063399 and 36402063408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8867847 + ... + 8871950.

It is an arithmetic number, because the mean of its divisors is an integer number (2069643100).

Almost surely, 236402063444 is an apocalyptic number.

It is an amenable number.

36402063444 is an abundant number, since it is smaller than the sum of its proper divisors (62940805356).

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

36402063444 is a wasteful number, since it uses less digits than its factorization.

36402063444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739829 (or 17739821 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

It can be divided in two parts, 3640206 and 3444, that added together give a triangular number (3643650 = T2699).

The spelling of 36402063444 in words is "thirty-six billion, four hundred two million, sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 17739797 35479594 53219391 70959188 106438782 159658173 212877564 319316346 337056143 478974519 638632692 674112286 957949038 1011168429 1348224572 1915898076 2022336858 3033505287 4044673716 6067010574 9100515861 12134021148 18201031722 36402063444