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52133048250272 = 2511279208181899
BaseRepresentation
bin10111101101010001010111…
…10100100110111110100000
320211120212111202202111222222
423312220223310212332200
523313121440323002042
6302513331452050212
713660326351405443
oct1366505364467640
9224525452674888
1052133048250272
111567a5576a4600
125a1b898463968
132312182538252
14cc337832965a
156061783c62d2
hex2f6a2bd26fa0

52133048250272 has 144 divisors (see below), whose sum is σ = 114300151056000. Its totient is φ = 23385351475200.

The previous prime is 52133048250253. The next prime is 52133048250289. The reversal of 52133048250272 is 27205284033125.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636511979 + ... + 636593877.

It is an arithmetic number, because the mean of its divisors is an integer number (793751049000).

Almost surely, 252133048250272 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 52133048250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57150075528000).

52133048250272 is an abundant number, since it is smaller than the sum of its proper divisors (62167102805728).

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

52133048250272 is a wasteful number, since it uses less digits than its factorization.

52133048250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84091 (or 84072 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 52133048250272 in words is "fifty-two trillion, one hundred thirty-three billion, forty-eight million, two hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 121 158 176 242 316 352 484 632 869 968 1264 1738 1936 2081 2528 3476 3872 4162 6952 8324 9559 13904 16648 19118 22891 27808 33296 38236 45782 66592 76472 81899 91564 152944 163798 164399 183128 251801 305888 327596 328798 366256 503602 655192 657596 732512 900889 1007204 1310384 1315192 1801778 1808389 2014408 2620768 2630384 3603556 3616778 4028816 5260768 6470021 7207112 7233556 8057632 9909779 12940042 14414224 14467112 19819558 19892279 25880084 28828448 28934224 39639116 39784558 51760168 57868448 71170231 79278232 79569116 103520336 142340462 158556464 159138232 170431819 207040672 284680924 317112928 318276464 340863638 569361848 636552928 681727276 782872541 1138723696 1363454552 1565745082 1874750009 2277447392 2726909104 3131490164 3749500018 5453818208 6262980328 7499000036 12525960656 13464113701 14998000072 20622250099 25051921312 26928227402 29996000144 41244500198 53856454804 59992000288 82489000396 107712909608 148105250711 164978000792 215425819216 296210501422 329956001584 430851638432 592421002844 659912003168 1184842005688 1629157757821 2369684011376 3258315515642 4739368022752 6516631031284 13033262062568 26066524125136 52133048250272