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534343054100 = 225223353658139
BaseRepresentation
bin1111100011010010101…
…00111111001100010100
31220002020021201121211012
413301221110333030110
532223313310212400
61045250202031352
753414343006452
oct7615124771424
91802207647735
10534343054100
111966827a6339
12876864a8558
133b50822806b
141bc103a19d2
15dd75b97d35
hex7c6953f314

534343054100 has 72 divisors (see below), whose sum is σ = 1213367964480. Its totient is φ = 203864826880.

The previous prime is 534343054099. The next prime is 534343054109. The reversal of 534343054100 is 1450343435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534343054109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482831 + ... + 1140969.

It is an arithmetic number, because the mean of its divisors is an integer number (16852332840).

Almost surely, 2534343054100 is an apocalyptic number.

534343054100 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 534343054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606683982240).

534343054100 is an abundant number, since it is smaller than the sum of its proper divisors (679024910380).

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

534343054100 is a wasteful number, since it uses less digits than its factorization.

534343054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658529 (or 658522 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 534343054100 its reverse (1450343435), we get a palindrome (535793397535).

The spelling of 534343054100 in words is "five hundred thirty-four billion, three hundred forty-three million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 353 460 575 706 1150 1412 1765 2300 3530 7060 8119 8825 16238 17650 32476 35300 40595 81190 162380 202975 405950 658139 811900 1316278 2632556 3290695 6581390 13162780 15137197 16453475 30274394 32906950 60548788 65813900 75685985 151371970 232323067 302743940 378429925 464646134 756859850 929292268 1161615335 1513719700 2323230670 4646461340 5343430541 5808076675 10686861082 11616153350 21373722164 23232306700 26717152705 53434305410 106868610820 133585763525 267171527050 534343054100