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540552234100 = 225237314492017
BaseRepresentation
bin1111101110110110110…
…11001000010001110100
31220200021000101122111211
413313123123020101310
532324022332442400
61052154250211204
754024250115164
oct7673333102164
91820230348454
10540552234100
1119927970a15a
1288919a23b04
133bc87743678
141c23cca25a4
15e0dad4edba
hex7ddb6c8474

540552234100 has 36 divisors (see below), whose sum is σ = 1176143196844. Its totient is φ = 215641198080.

The previous prime is 540552234083. The next prime is 540552234113. The reversal of 540552234100 is 1432255045.

It can be written as a sum of positive squares in 6 ways, for example, as 4605251044 + 535946983056 = 67862^2 + 732084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7208709 + ... + 7283308.

Almost surely, 2540552234100 is an apocalyptic number.

540552234100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540552234100 is an abundant number, since it is smaller than the sum of its proper divisors (635590962744).

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

540552234100 is a wasteful number, since it uses less digits than its factorization.

540552234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492404 (or 14492397 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 540552234100 its reverse (1432255045), we get a palindrome (541984489145).

The spelling of 540552234100 in words is "five hundred forty billion, five hundred fifty-two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 373 746 1492 1865 3730 7460 9325 18650 37300 14492017 28984034 57968068 72460085 144920170 289840340 362300425 724600850 1449201700 5405522341 10811044682 21622089364 27027611705 54055223410 108110446820 135138058525 270276117050 540552234100