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5141841588 = 22321317961379
BaseRepresentation
bin1001100100111101…
…00100011010110100
3111021100021121122100
410302132210122310
541012302412323
62210115302100
7241263634542
oct46236443264
914240247570
105141841588
1121a9487764
12bb5baa930
1363c362220
1436ac64d92
15201623943
hex1327a46b4

5141841588 has 72 divisors (see below), whose sum is σ = 14075661600. Its totient is φ = 1573240896.

The previous prime is 5141841583. The next prime is 5141841619. The reversal of 5141841588 is 8851481415.

5141841588 is a `hidden beast` number, since 5 + 14 + 18 + 41 + 588 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141841583) 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, 53083 + ... + 114461.

It is an arithmetic number, because the mean of its divisors is an integer number (195495300).

Almost surely, 25141841588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141841588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037830800).

5141841588 is an abundant number, since it is smaller than the sum of its proper divisors (8933820012).

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

5141841588 is a wasteful number, since it uses less digits than its factorization.

5141841588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61581 (or 61576 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 5141841588 is about 71706.6355925308. The cubic root of 5141841588 is about 1725.9951228588.

The spelling of 5141841588 in words is "five billion, one hundred forty-one million, eight hundred forty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 468 537 716 1074 1611 2148 2327 3222 4654 6444 6981 9308 13962 20943 27924 41886 61379 83772 122758 184137 245516 368274 552411 736548 797927 1104822 1595854 2209644 2393781 3191708 4787562 7181343 9575124 10986841 14362686 21973682 28725372 32960523 43947364 65921046 98881569 131842092 142828933 197763138 285657866 395526276 428486799 571315732 856973598 1285460397 1713947196 2570920794 5141841588