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252136050340000 = 255417097376713
BaseRepresentation
bin111001010101000011111111…
…101101110011000010100000
31020001201222012212100112110211
4321111003333231303002200
5231021444112341340000
62252125411422503504
7104052141242251411
oct7125037755630240
91201658185315424
10252136050340000
117337a331275342
12243417a5134b94
13aa8c434760888
14463964293b808
151e23985cbd7ba
hexe550ffb730a0

252136050340000 has 120 divisors (see below), whose sum is σ = 620655544790820. Its totient is φ = 100795392768000.

The previous prime is 252136050339977. The next prime is 252136050340003. The reversal of 252136050340000 is 43050631252.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 73042388762256 + 179093661577744 = 8546484^2 + 13382588^2 .

It is not an unprimeable number, because it can be changed into a prime (252136050340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30491644 + ... + 37868356.

Almost surely, 2252136050340000 is an apocalyptic number.

252136050340000 is a gapful number since it is divisible by the number (20) 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 252136050340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310327772395410).

252136050340000 is an abundant number, since it is smaller than the sum of its proper divisors (368519494450820).

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

252136050340000 is an equidigital number, since it uses as much as digits as its factorization.

252136050340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378452 (or 7378429 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 252136050340000 in words is "two hundred fifty-two trillion, one hundred thirty-six billion, fifty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1709 2000 2500 3418 4000 5000 6836 8545 10000 13672 17090 20000 27344 34180 42725 54688 68360 85450 136720 170900 213625 273440 341800 427250 683600 854500 1068125 1367200 1709000 2136250 3418000 4272500 6836000 7376713 8545000 14753426 17090000 29506852 34180000 36883565 59013704 73767130 118027408 147534260 184417825 236054816 295068520 368835650 590137040 737671300 922089125 1180274080 1475342600 1844178250 2950685200 3688356500 4610445625 5901370400 7376713000 9220891250 12606802517 14753426000 18441782500 25213605034 29506852000 36883565000 50427210068 63034012585 73767130000 100854420136 126068025170 147534260000 201708840272 252136050340 315170062925 403417680544 504272100680 630340125850 1008544201360 1260680251700 1575850314625 2017088402720 2521360503400 3151700629250 5042721006800 6303401258500 7879251573125 10085442013600 12606802517000 15758503146250 25213605034000 31517006292500 50427210068000 63034012585000 126068025170000 252136050340000