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6541132631140 = 2258973315833167
BaseRepresentation
bin101111100101111100111…
…1000110000110001100100
3212011022210210001102110201
41133023321320300301210
51324132214423144030
621524542125200244
71243403235662122
oct137137170606144
925138723042421
106541132631140
1120a2095930488
12897870100084
13385a980c7563
14188841bb4912
15b523ac322ca
hex5f2f9e30c64

6541132631140 has 96 divisors (see below), whose sum is σ = 13922852106240. Its totient is φ = 2581078004736.

The previous prime is 6541132631129. The next prime is 6541132631141. The reversal of 6541132631140 is 411362311456.

It is a self number, because there is not a number n which added to its sum of digits gives 6541132631140.

It is not an unprimeable number, because it can be changed into a prime (6541132631141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065401837 + ... + 2065405003.

It is an arithmetic number, because the mean of its divisors is an integer number (145029709440).

Almost surely, 26541132631140 is an apocalyptic number.

It is an amenable number.

6541132631140 is an abundant number, since it is smaller than the sum of its proper divisors (7381719475100).

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

6541132631140 is a wasteful number, since it uses less digits than its factorization.

6541132631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 6541132631140 its reverse (411362311456), we get a palindrome (6952494942596).

The spelling of 6541132631140 in words is "six trillion, five hundred forty-one billion, one hundred thirty-two million, six hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 733 890 1466 1583 1780 2932 3166 3167 3665 6332 6334 7330 7915 12668 14660 15830 15835 31660 31670 63340 65237 130474 140887 260948 281774 281863 326185 563548 563726 652370 704435 1127452 1160339 1304740 1408870 1409315 2320678 2321411 2817740 2818630 4641356 4642822 5013361 5637260 5801695 9285644 10026722 11603390 11607055 20053444 23206780 23214110 25066805 46428220 50133610 100267220 103270171 206540342 206605579 413080684 413211158 446189129 516350855 826422316 892378258 1032701710 1033027895 1784756516 2065403420 2066055790 2230945645 3674793613 4132111580 4461891290 7349587226 8923782580 14699174452 18373968065 36747936130 73495872260 327056631557 654113263114 1308226526228 1635283157785 3270566315570 6541132631140