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52827000180 = 223531271104803
BaseRepresentation
bin110001001100101111…
…000000110101110100
312001100121022122211020
4301030233000311310
51331142203001210
640133545541140
73550050043533
oct611457006564
9161317278736
1052827000180
1120449512139
12a2a37a47b0
134c9b6616b6
1427b1d8231a
151592b64770
hexc4cbc0d74

52827000180 has 96 divisors (see below), whose sum is σ = 153251954688. Its totient is φ = 13582339200.

The previous prime is 52827000167. The next prime is 52827000181. The reversal of 52827000180 is 8100072825.

52827000180 = 136212 + 136222 + ... + 138992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52827000181) by changing a digit.

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, 451659 + ... + 556461.

It is an arithmetic number, because the mean of its divisors is an integer number (1596374528).

Almost surely, 252827000180 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 52827000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76625977344).

52827000180 is an abundant number, since it is smaller than the sum of its proper divisors (100424954508).

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

52827000180 is a wasteful number, since it uses less digits than its factorization.

52827000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105117 (or 105115 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 52827000180 in words is "fifty-two billion, eight hundred twenty-seven million, one hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 271 310 372 465 542 620 813 930 1084 1355 1626 1860 2710 3252 4065 5420 8130 8401 16260 16802 25203 33604 42005 50406 84010 100812 104803 126015 168020 209606 252030 314409 419212 504060 524015 628818 1048030 1257636 1572045 2096060 3144090 3248893 6288180 6497786 9746679 12995572 16244465 19493358 28401613 32488930 38986716 48733395 56803226 64977860 85204839 97466790 113606452 142008065 170409678 194933580 284016130 340819356 426024195 568032260 852048390 880450003 1704096780 1760900006 2641350009 3521800012 4402250015 5282700018 8804500030 10565400036 13206750045 17609000060 26413500090 52827000180