Search a number
-
+
5571071136 = 25343595987
BaseRepresentation
bin1010011000000111…
…11100110010100000
3112101020221201220000
411030003330302200
542402143234021
62320451220000
7255025215621
oct51403746240
915336851800
105571071136
1123a97a7224
1210b58a7600
136aa268bc7
143abc77a48
1522915cb26
hex14c0fcca0

5571071136 has 120 divisors (see below), whose sum is σ = 16432748640. Its totient is φ = 1851541632.

The previous prime is 5571071117. The next prime is 5571071141. The reversal of 5571071136 is 6311701755.

5571071136 is a `hidden beast` number, since 5 + 571 + 0 + 71 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5571071136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 927535 + ... + 933521.

It is an arithmetic number, because the mean of its divisors is an integer number (136939572).

Almost surely, 25571071136 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 5571071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216374320).

5571071136 is an abundant number, since it is smaller than the sum of its proper divisors (10861677504).

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

5571071136 is a wasteful number, since it uses less digits than its factorization.

5571071136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 5571071136 is about 74639.6083591011. The cubic root of 5571071136 is about 1772.7448592295.

The spelling of 5571071136 in words is "five billion, five hundred seventy-one million, seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 432 648 718 864 1077 1296 1436 2154 2592 2872 3231 4308 5744 5987 6462 8616 9693 11488 11974 12924 17232 17961 19386 23948 25848 29079 34464 35922 38772 47896 51696 53883 58158 71844 77544 95792 103392 107766 116316 143688 155088 161649 191584 215532 232632 287376 310176 323298 431064 465264 484947 574752 646596 862128 930528 969894 1293192 1724256 1939788 2149333 2586384 3879576 4298666 5172768 6447999 7759152 8597332 12895998 15518304 17194664 19343997 25791996 34389328 38687994 51583992 58031991 68778656 77375988 103167984 116063982 154751976 174095973 206335968 232127964 309503952 348191946 464255928 619007904 696383892 928511856 1392767784 1857023712 2785535568 5571071136