Search a number
-
+
53068538200 = 23527117892089
BaseRepresentation
bin110001011011001000…
…011010000101011000
312001222102211001200211
4301123020122011120
51332141021210300
640213534540504
73556042063156
oct613310320530
9161872731624
1053068538200
1120562896237
12a350667734
1350097005c2
1427d60983d6
1515a8e764ba
hexc5b21a158

53068538200 has 96 divisors (see below), whose sum is σ = 125252028000. Its totient is φ = 20906726400.

The previous prime is 53068538177. The next prime is 53068538209. The reversal of 53068538200 is 283586035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53068538209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25402756 + ... + 25404844.

It is an arithmetic number, because the mean of its divisors is an integer number (1304708625).

Almost surely, 253068538200 is an apocalyptic number.

53068538200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53068538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62626014000).

53068538200 is an abundant number, since it is smaller than the sum of its proper divisors (72183489800).

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

53068538200 is a wasteful number, since it uses less digits than its factorization.

53068538200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 53068538200 in words is "fifty-three billion, sixty-eight million, five hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 1789 2089 2840 3550 3578 4178 7100 7156 8356 8945 10445 14200 14312 16712 17890 20890 35780 41780 44725 52225 71560 83560 89450 104450 127019 148319 178900 208900 254038 296638 357800 417800 508076 593276 635095 741595 1016152 1186552 1270190 1483190 2540380 2966380 3175475 3707975 3737221 5080760 5932760 6350950 7415950 7474442 12701900 14831900 14948884 18686105 25403800 29663800 29897768 37372210 74744420 93430525 149488840 186861050 265342691 373722100 530685382 747444200 1061370764 1326713455 2122741528 2653426910 5306853820 6633567275 10613707640 13267134550 26534269100 53068538200