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152402013320000 = 265422731676221
BaseRepresentation
bin100010101001101111011011…
…110111011111001101000000
3201222121111020100022021012212
4202221233123313133031000
5124433423310402220000
61300044303545441252
744046452651122163
oct4251573367371500
9658544210267185
10152402013320000
1144618370452574
1215114645aa0228
1367065a989a712
14298c4225d3ada
1512944d5949c35
hex8a9bdbddf340

152402013320000 has 140 divisors (see below), whose sum is σ = 378073947262836. Its totient is φ = 60933949440000.

The previous prime is 152402013319987. The next prime is 152402013320033. The reversal of 152402013320000 is 23310204251.

It can be written as a sum of positive squares in 10 ways, for example, as 123877612321024 + 28524400998976 = 11130032^2 + 5340824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90081890 + ... + 91758110.

Almost surely, 2152402013320000 is an apocalyptic number.

152402013320000 is a gapful number since it is divisible by the number (10) 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 152402013320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189036973631418).

152402013320000 is an abundant number, since it is smaller than the sum of its proper divisors (225671933942836).

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

152402013320000 is an equidigital number, since it uses as much as digits as its factorization.

152402013320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678526 (or 1678501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 152402013320000 its reverse (23310204251), we get a palindrome (152425323524251).

The spelling of 152402013320000 in words is "one hundred fifty-two trillion, four hundred two billion, thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2273 2500 4000 4546 5000 8000 9092 10000 11365 18184 20000 22730 36368 40000 45460 56825 72736 90920 113650 145472 181840 227300 284125 363680 454600 568250 727360 909200 1136500 1420625 1676221 1818400 2273000 2841250 3352442 3636800 4546000 5682500 6704884 8381105 9092000 11365000 13409768 16762210 18184000 22730000 26819536 33524420 41905525 45460000 53639072 67048840 83811050 90920000 107278144 134097680 167622100 209527625 268195360 335244200 419055250 536390720 670488400 838110500 1047638125 1340976800 1676221000 2095276250 2681953600 3352442000 3810050333 4190552500 6704884000 7620100666 8381105000 13409768000 15240201332 16762210000 19050251665 30480402664 33524420000 38100503330 60960805328 67048840000 76201006660 95251258325 121921610656 152402013320 190502516650 243843221312 304804026640 381005033300 476256291625 609608053280 762010066600 952512583250 1219216106560 1524020133200 1905025166500 2381281458125 3048040266400 3810050333000 4762562916250 6096080532800 7620100666000 9525125832500 15240201332000 19050251665000 30480402664000 38100503330000 76201006660000 152402013320000