Search a number
-
+
535145385040 = 2457955616759
BaseRepresentation
bin1111100100110010010…
…01101000110001010000
31220011022012110020221221
413302121021220301100
532231434204310130
61045501542454424
753443254501640
oct7623111506120
91804265406857
10535145385040
11196a54689462
128786b134414
133b605515bb6
141bc88b76520
15ddc133087a
hex7c99268c50

535145385040 has 40 divisors (see below), whose sum is σ = 1421957738880. Its totient is φ = 183478417536.

The previous prime is 535145385029. The next prime is 535145385043. The reversal of 535145385040 is 40583541535.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535145385043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477807820 + ... + 477808939.

It is an arithmetic number, because the mean of its divisors is an integer number (35548943472).

Almost surely, 2535145385040 is an apocalyptic number.

It is an amenable number.

535145385040 is an abundant number, since it is smaller than the sum of its proper divisors (886812353840).

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

535145385040 is a wasteful number, since it uses less digits than its factorization.

535145385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955616779 (or 955616773 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 535145385040 in words is "five hundred thirty-five billion, one hundred forty-five million, three hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 955616759 1911233518 3822467036 4778083795 6689317313 7644934072 9556167590 13378634626 15289868144 19112335180 26757269252 33446586565 38224670360 53514538504 66893173130 76449340720 107029077008 133786346260 267572692520 535145385040