Search a number
-
+
57000000096 = 25321315224359
BaseRepresentation
bin110101000101011101…
…101111101001100000
312110010102120000112200
4311011131233221200
51413214000000341
642104015453200
74055341002204
oct650535575140
9173112500480
1057000000096
11221a00177a6
12b069227200
1354b5075a10
142a8a28ab04
1517391addb6
hexd4576fa60

57000000096 has 72 divisors (see below), whose sum is σ = 174562511760. Its totient is φ = 17538460416.

The previous prime is 57000000011. The next prime is 57000000107. The reversal of 57000000096 is 69000000075.

57000000096 is a `hidden beast` number, since 570 + 0 + 0 + 0 + 0 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7608436 + ... + 7615923.

It is an arithmetic number, because the mean of its divisors is an integer number (2424479330).

Almost surely, 257000000096 is an apocalyptic number.

It is an amenable number.

57000000096 is an abundant number, since it is smaller than the sum of its proper divisors (117562511664).

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

57000000096 is a wasteful number, since it uses less digits than its factorization.

57000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224388 (or 15224377 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 57000000096 in words is "fifty-seven billion, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15224359 30448718 45673077 60897436 91346154 121794872 137019231 182692308 197916667 243589744 274038462 365384616 395833334 487179488 548076924 593750001 730769232 791666668 1096153848 1187500002 1461538464 1583333336 1781250003 2192307696 2375000004 3166666672 3562500006 4384615392 4750000008 6333333344 7125000012 9500000016 14250000024 19000000032 28500000048 57000000096