Search a number
-
+
61540050544152 = 23338346031454477
BaseRepresentation
bin11011111111000011010001…
…10110100010011000011000
322001220011121221012002201220
431333201220312202120120
531031233010414403102
6334515035310212040
715651056551530015
oct1577415066423030
9261804557162656
1061540050544152
1118676a97206064
126a9aa5a4b4020
13284528166331b
14112a7a916a70c
1571abe80ba1bc
hex37f868da2618

61540050544152 has 64 divisors (see below), whose sum is σ = 154285441044480. Its totient is φ = 20455331574912.

The previous prime is 61540050544117. The next prime is 61540050544153. The reversal of 61540050544152 is 25144505004516.

It is a happy number.

61540050544152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61540050544153) 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 15 ways as a sum of consecutive naturals, for example, 41583538 + ... + 43038014.

It is an arithmetic number, because the mean of its divisors is an integer number (2410710016320).

Almost surely, 261540050544152 is an apocalyptic number.

It is an amenable number.

61540050544152 is an abundant number, since it is smaller than the sum of its proper divisors (92745390500328).

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

61540050544152 is a wasteful number, since it uses less digits than its factorization.

61540050544152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459472 (or 1459468 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 61540050544152 its reverse (25144505004516), we get a palindrome (86684555548668).

The spelling of 61540050544152 in words is "sixty-one trillion, five hundred forty billion, fifty million, five hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 383 766 1149 1532 2298 3064 4596 4603 9192 9206 13809 18412 27618 36824 55236 110472 1454477 1762949 2908954 3525898 4363431 5288847 5817908 7051796 8726862 10577694 11635816 14103592 17453724 21155388 34907448 42310776 557064691 1114129382 1671194073 2228258764 3342388146 4456517528 6684776292 6694957631 13369552584 13389915262 20084872893 26779830524 40169745786 53559661048 80339491572 160678983144 2564168772673 5128337545346 7692506318019 10256675090692 15385012636038 20513350181384 30770025272076 61540050544152