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53320512154400 = 2552241276558673
BaseRepresentation
bin11000001111110101001100…
…01011111010101100100000
320222210101120011120222100022
430013322212023322230200
523442100402102420100
6305223034412413012
714142164666143151
oct1407724613725440
9228711504528308
1053320512154400
1115a98114059287
125b91a57777168
13239a1448a883a
14d24a25965928
15626ec7747e85
hex307ea62fab20

53320512154400 has 72 divisors (see below), whose sum is σ = 130708819857924. Its totient is φ = 21239706009600.

The previous prime is 53320512154397. The next prime is 53320512154453. The reversal of 53320512154400 is 445121502335.

53320512154400 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 6 ways, for example, as 18445959855376 + 34874552299024 = 4294876^2 + 5905468^2 .

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 11 ways as a sum of consecutive naturals, for example, 138086537 + ... + 138472136.

Almost surely, 253320512154400 is an apocalyptic number.

53320512154400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53320512154400 is an abundant number, since it is smaller than the sum of its proper divisors (77388307703524).

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

53320512154400 is a wasteful number, since it uses less digits than its factorization.

53320512154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276558934 (or 276558921 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 53320512154400 its reverse (445121502335), we get a palindrome (53765633656735).

The spelling of 53320512154400 in words is "fifty-three trillion, three hundred twenty billion, five hundred twelve million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 38560 48200 96400 192800 276558673 553117346 1106234692 1382793365 2212469384 2765586730 4424938768 5531173460 6913966825 8849877536 11062346920 13827933650 22124693840 27655867300 44249387680 55311734600 66650640193 110623469200 133301280386 221246938400 266602560772 333253200965 533205121544 666506401930 1066410243088 1333012803860 1666266004825 2132820486176 2666025607720 3332532009650 5332051215440 6665064019300 10664102430880 13330128038600 26660256077200 53320512154400