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5140542204 = 223472978157
BaseRepresentation
bin1001100100110011…
…00111001011111100
3111021020211121020000
410302121213023330
541011434322304
62210031354300
7241246613340
oct46231471374
914236747200
105140542204
1121a877a496
12bb5682990
1363bcc8965
1436aa07620
15201468939
hex1326672fc

5140542204 has 120 divisors (see below), whose sum is σ = 15887958240. Its totient is φ = 1418062464.

The previous prime is 5140542203. The next prime is 5140542221. The reversal of 5140542204 is 4022450415.

5140542204 is a `hidden beast` number, since 51 + 405 + 4 + 2 + 204 = 666.

It is a super-3 number, since 3×51405422043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140542203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26694 + ... + 104850.

It is an arithmetic number, because the mean of its divisors is an integer number (132399652).

Almost surely, 25140542204 is an apocalyptic number.

5140542204 is a gapful number since it is divisible by the number (54) 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 5140542204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943979120).

5140542204 is an abundant number, since it is smaller than the sum of its proper divisors (10747416036).

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

5140542204 is a wasteful number, since it uses less digits than its factorization.

5140542204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78209 (or 78198 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5140542204 is about 71697.5746033295. The cubic root of 5140542204 is about 1725.8497197411.

Adding to 5140542204 its reverse (4022450415), we get a palindrome (9162992619).

The spelling of 5140542204 in words is "five billion, one hundred forty million, five hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 10962 16443 21924 32886 65772 78157 156314 234471 312628 468942 547099 703413 937884 1094198 1406826 1641297 2110239 2188396 2266553 2813652 3282594 4220478 4533106 4923891 6330717 6565188 6799659 8440956 9066212 9847782 12661434 13599318 14771673 15865871 19695564 20398977 25322868 27198636 29543346 31731742 40797954 44315019 47597613 59086692 61196931 63463484 81595908 88630038 95195226 122393862 142792839 177260076 183590793 190390452 244787724 285585678 367181586 428378517 571171356 734363172 856757034 1285135551 1713514068 2570271102 5140542204