Search a number
-
+
540051401050 = 25271981210737
BaseRepresentation
bin1111101101111011001…
…00100110100101011010
31220121222002222200201121
413312331210212211122
532322011124313200
61052032435435454
754005656111420
oct7667544464532
91817862880647
10540051401050
11199041a33947
12887ba155b8a
133bc07a59355
141c1d2571110
15e0abdbee1a
hex7dbd92695a

540051401050 has 48 divisors (see below), whose sum is σ = 1208415781440. Its totient is φ = 175415189760.

The previous prime is 540051401039. The next prime is 540051401053. The reversal of 540051401050 is 50104150045.

It is a happy number.

It is a super-2 number, since 2×5400514010502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (540051401053) 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 23 ways as a sum of consecutive naturals, for example, 40598719 + ... + 40612018.

It is an arithmetic number, because the mean of its divisors is an integer number (25175328780).

Almost surely, 2540051401050 is an apocalyptic number.

540051401050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540051401050 is an abundant number, since it is smaller than the sum of its proper divisors (668364380390).

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

540051401050 is a wasteful number, since it uses less digits than its factorization.

540051401050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81210775 (or 81210770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 540051401050 its reverse (50104150045), we get a palindrome (590155551095).

The spelling of 540051401050 in words is "five hundred forty billion, fifty-one million, four hundred one thousand, fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 350 475 665 950 1330 3325 6650 81210737 162421474 406053685 568475159 812107370 1136950318 1543004003 2030268425 2842375795 3086008006 4060536850 5684751590 7715020015 10801028021 14211878975 15430040030 21602056042 28423757950 38575100075 54005140105 77150200150 108010280210 270025700525 540051401050