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5112856576 = 2222353
BaseRepresentation
bin1001100001100000…
…00000000000000000
3111012022202000200101
410300300000000000
540432342402301
62203202132144
7240462364252
oct46060000000
914168660611
105112856576
11219408a903
12ba8351054
13636354229
1436707bcd2
151edcea701
hex130c00000

5112856576 has 92 divisors (see below), whose sum is σ = 10871634672. Its totient is φ = 2399141888.

The previous prime is 5112856561. The next prime is 5112856583. The reversal of 5112856576 is 6756582115.

It is a tau number, because it is divible by the number of its divisors (92).

It is a super-2 number, since 2×51128565762 = 52282604733492887552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (504000) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96468966 + ... + 96469018.

Almost surely, 25112856576 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 5112856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435817336).

5112856576 is an abundant number, since it is smaller than the sum of its proper divisors (5758778096).

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

5112856576 is an frugal number, since it uses more digits than its factorization.

5112856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its digits is 504000, while the sum is 46.

The square root of 5112856576 is about 71504.2416643936. The cubic root of 5112856576 is about 1722.7458143474.

The spelling of 5112856576 in words is "five billion, one hundred twelve million, eight hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 256 368 424 512 736 848 1024 1219 1472 1696 2048 2438 2944 3392 4096 4876 5888 6784 8192 9752 11776 13568 16384 19504 23552 27136 32768 39008 47104 54272 65536 78016 94208 108544 131072 156032 188416 217088 262144 312064 376832 434176 524288 624128 753664 868352 1048576 1248256 1507328 1736704 2097152 2496512 3014656 3473408 4194304 4993024 6029312 6946816 9986048 12058624 13893632 19972096 24117248 27787264 39944192 48234496 55574528 79888384 96468992 111149056 159776768 222298112 319553536 639107072 1278214144 2556428288 5112856576