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538397181952 = 211740991823
BaseRepresentation
bin1111101010110101111…
…10010000100000000000
31220110200211021122201121
413311122332100200000
532310114134310302
61051200344042024
753616661352260
oct7653276204000
91813624248647
10538397181952
1119837319a623
1288418163314
133ba0311b996
141c0b69a57a0
15e011a60e37
hex7d5af90800

538397181952 has 96 divisors (see below), whose sum is σ = 1233343238400. Its totient is φ = 230174982144.

The previous prime is 538397181941. The next prime is 538397181979. The reversal of 538397181952 is 259181793835.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5817513 + ... + 5909335.

It is an arithmetic number, because the mean of its divisors is an integer number (12847325400).

Almost surely, 2538397181952 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 538397181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616671619200).

538397181952 is an abundant number, since it is smaller than the sum of its proper divisors (694946056448).

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

538397181952 is an equidigital number, since it uses as much as digits as its factorization.

538397181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92261 (or 92241 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 61.

The spelling of 538397181952 in words is "five hundred thirty-eight billion, three hundred ninety-seven million, one hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 409 448 512 818 896 1024 1636 1792 2048 2863 3272 3584 5726 6544 7168 11452 13088 14336 22904 26176 45808 52352 91616 91823 104704 183232 183646 209408 366464 367292 418816 642761 732928 734584 837632 1285522 1465856 1469168 2571044 2931712 2938336 5142088 5863424 5876672 10284176 11753344 20568352 23506688 37555607 41136704 47013376 75111214 82273408 94026752 150222428 164546816 188053504 262889249 300444856 329093632 525778498 600889712 658187264 1051556996 1201779424 1316374528 2103113992 2403558848 4206227984 4807117696 8412455968 9614235392 16824911936 19228470784 33649823872 38456941568 67299647744 76913883136 134599295488 269198590976 538397181952