Search a number
-
+
54007514430 = 23516710779943
BaseRepresentation
bin110010010011000110…
…010100010100111110
312011101212122222221020
4302103012110110332
51341101410430210
640451040245010
73621233204202
oct622306242476
9164355588836
1054007514430
11209a4919a51
12a573010766
1351290c283c
142884a7cb02
151611601770
hexc9319453e

54007514430 has 32 divisors (see below), whose sum is σ = 130394202624. Its totient is φ = 14315762976.

The previous prime is 54007514381. The next prime is 54007514453. The reversal of 54007514430 is 3441570045.

It is a super-2 number, since 2×540075144302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54007514391 and 54007514400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5384962 + ... + 5394981.

It is an arithmetic number, because the mean of its divisors is an integer number (4074818832).

Almost surely, 254007514430 is an apocalyptic number.

54007514430 is an abundant number, since it is smaller than the sum of its proper divisors (76386688194).

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

54007514430 is a wasteful number, since it uses less digits than its factorization.

54007514430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780120.

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 54007514430 in words is "fifty-four billion, seven million, five hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 167 334 501 835 1002 1670 2505 5010 10779943 21559886 32339829 53899715 64679658 107799430 161699145 323398290 1800250481 3600500962 5400751443 9001252405 10801502886 18002504810 27003757215 54007514430