Search a number
-
+
57144859020 = 22335293649097
BaseRepresentation
bin110101001110000110…
…010101100110001100
312110111112010121122000
4311032012111212030
51414013040442040
642130232352300
74062050200344
oct651606254614
9173445117560
1057144859020
1122264868417
12b0a9845690
135509094862
142aa15d7d24
151746c75130
hexd4e19598c

57144859020 has 96 divisors (see below), whose sum is σ = 183914539200. Its totient is φ = 14713155072.

The previous prime is 57144859007. The next prime is 57144859043. The reversal of 57144859020 is 2095844175.

57144859020 is a `hidden beast` number, since 5 + 7 + 14 + 48 + 590 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 1808889 + ... + 1840208.

It is an arithmetic number, because the mean of its divisors is an integer number (1915776450).

Almost surely, 257144859020 is an apocalyptic number.

It is an amenable number.

57144859020 is an abundant number, since it is smaller than the sum of its proper divisors (126769680180).

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

57144859020 is a wasteful number, since it uses less digits than its factorization.

57144859020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649144 (or 3649136 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57144859020 in words is "fifty-seven billion, one hundred forty-four million, eight hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 3649097 7298194 10947291 14596388 18245485 21894582 32841873 36490970 43789164 54736455 65683746 72981940 98525619 105823813 109472910 131367492 164209365 197051238 211647626 218945820 317471439 328418730 394102476 423295252 492628095 529119065 634942878 656837460 952414317 985256190 1058238130 1269885756 1587357195 1904828634 1970512380 2116476260 2857242951 3174714390 3809657268 4762071585 5714485902 6349428780 9524143170 11428971804 14286214755 19048286340 28572429510 57144859020