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52083205125320 = 23535310193361877
BaseRepresentation
bin10111101011110100100001…
…11100001011010011001000
320211102002212010010102111002
423311322100330023103020
523311312401003002240
6302434405532554132
713653613243005365
oct1365722074132310
9224362763112432
1052083205125320
11156603aa53a056
125a120a8022948
13230a56b1337c5
14cc0baa79346c
15604c0c6bcd15
hex2f5e90f0b4c8

52083205125320 has 64 divisors (see below), whose sum is σ = 117531040817520. Its totient is φ = 20772168761344.

The previous prime is 52083205125269. The next prime is 52083205125337. The reversal of 52083205125320 is 2352150238025.

52083205125320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42539640706564 + 9543564418756 = 6522242^2 + 3089266^2 .

It is a super-2 number, since 2×520832051253202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143744222 + ... + 144106098.

Almost surely, 252083205125320 is an apocalyptic number.

It is an amenable number.

52083205125320 is an abundant number, since it is smaller than the sum of its proper divisors (65447835692200).

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

52083205125320 is a wasteful number, since it uses less digits than its factorization.

52083205125320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372434 (or 372430 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 52083205125320 in words is "fifty-two trillion, eighty-three billion, two hundred five million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3530 7060 10193 14120 20386 40772 50965 81544 101930 203860 361877 407720 723754 1447508 1809385 2895016 3598129 3618770 7196258 7237540 14392516 14475080 17990645 28785032 35981290 71962580 127742581 143925160 255485162 510970324 638712905 1021940648 1277425810 2554851620 3688612261 5109703240 7377224522 14754449044 18443061305 29508898088 36886122610 73772245220 147544490440 1302080128133 2604160256266 5208320512532 6510400640665 10416641025064 13020801281330 26041602562660 52083205125320