Search a number
-
+
502103545000 = 2354421238529
BaseRepresentation
bin1110100111001111011…
…01000001010010101000
31210000000110101212111121
413103213231001102220
531211302001420000
61022355125305024
751163410466531
oct7234755012250
91700013355447
10502103545000
11183a393a7a42
1281389565174
133846abaa365
141a432753688
15d0da64ab1a
hex74e7b414a8

502103545000 has 80 divisors (see below), whose sum is σ = 1179227916900. Its totient is φ = 200363520000.

The previous prime is 502103544991. The next prime is 502103545057. The reversal of 502103545000 is 545301205.

It can be written as a sum of positive squares in 10 ways, for example, as 178021549476 + 324081995524 = 421926^2 + 569282^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1985736 + ... + 2224264.

Almost surely, 2502103545000 is an apocalyptic number.

502103545000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502103545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589613958450).

502103545000 is an abundant number, since it is smaller than the sum of its proper divisors (677124371900).

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

502103545000 is a wasteful number, since it uses less digits than its factorization.

502103545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238976 (or 238957 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 502103545000 its reverse (545301205), we get a palindrome (502648846205).

The spelling of 502103545000 in words is "five hundred two billion, one hundred three million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 625 842 1000 1250 1684 2105 2500 3368 4210 5000 8420 10525 16840 21050 42100 52625 84200 105250 210500 238529 263125 421000 477058 526250 954116 1052500 1192645 1908232 2105000 2385290 4770580 5963225 9541160 11926450 23852900 29816125 47705800 59632250 100420709 119264500 149080625 200841418 238529000 298161250 401682836 502103545 596322500 803365672 1004207090 1192645000 2008414180 2510517725 4016828360 5021035450 10042070900 12552588625 20084141800 25105177250 50210354500 62762943125 100420709000 125525886250 251051772500 502103545000