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5140638860 = 2257193122011
BaseRepresentation
bin1001100100110011…
…11110110010001100
3111021021000111210212
410302121332302030
541012000420420
62210033421552
7241250465210
oct46231766214
914237014725
105140638860
1121a8836075
12bb570a8b8
1363c030956
1436aa30940
152014873c5
hex13267ec8c

5140638860 has 144 divisors (see below), whose sum is σ = 13425995520. Its totient is φ = 1615075200.

The previous prime is 5140638859. The next prime is 5140638913. The reversal of 5140638860 is 688360415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2555255 + ... + 2557265.

It is an arithmetic number, because the mean of its divisors is an integer number (93236080).

Almost surely, 25140638860 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 5140638860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712997760).

5140638860 is an abundant number, since it is smaller than the sum of its proper divisors (8285356660).

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

5140638860 is a wasteful number, since it uses less digits than its factorization.

5140638860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 5140638860 is about 71698.2486536456. The cubic root of 5140638860 is about 1725.8605365434.

The spelling of 5140638860 in words is "five billion, one hundred forty million, six hundred thirty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 961 1085 1178 1330 1922 2011 2170 2356 2660 2945 3844 4022 4123 4340 4805 5890 6727 8044 8246 9610 10055 11780 13454 14077 16492 18259 19220 20110 20615 26908 28154 33635 36518 38209 40220 41230 56308 62341 67270 70385 73036 76418 82460 91295 124682 127813 134540 140770 152836 182590 191045 249364 255626 267463 281540 311705 365180 382090 436387 511252 534926 623410 639065 764180 872774 1069852 1184479 1246820 1278130 1337315 1745548 1932571 2181935 2368958 2556260 2674630 3865142 4363870 4737916 5349260 5922395 7730284 8291353 8727740 9662855 11844790 13527997 16582706 19325710 23689580 27055994 33165412 36718849 38651420 41456765 54111988 67639985 73437698 82913530 135279970 146875396 165827060 183594245 257031943 270559940 367188490 514063886 734376980 1028127772 1285159715 2570319430 5140638860