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5120353263798 = 2331922972172659
BaseRepresentation
bin100101010000010110011…
…0101100110000010110110
3200010111112020000101202000
41022200230311212002312
51132342440413420143
614520131404400130
71035635061424143
oct112405465460266
920114466011660
105120353263798
1116a4590a25a33
126a8437b46046
132b1b02508266
14139b7d9a93ca
158d2d3707bd3
hex4a82cd660b6

5120353263798 has 64 divisors (see below), whose sum is σ = 11982654432000. Its totient is φ = 1616248976832.

The previous prime is 5120353263769. The next prime is 5120353263803. The reversal of 5120353263798 is 8973623530215.

5120353263798 is a `hidden beast` number, since 5 + 1 + 20 + 353 + 263 + 7 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270393 + ... + 3443051.

It is an arithmetic number, because the mean of its divisors is an integer number (187228975500).

Almost surely, 25120353263798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120353263798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991327216000).

5120353263798 is an abundant number, since it is smaller than the sum of its proper divisors (6862301168202).

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

5120353263798 is a wasteful number, since it uses less digits than its factorization.

5120353263798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174986 (or 2174980 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5120353263798 in words is "five trillion, one hundred twenty billion, three hundred fifty-three million, two hundred sixty-three thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2297 4594 6891 13782 20673 41346 43643 62019 87286 124038 130929 261858 392787 785574 1178361 2172659 2356722 4345318 6517977 13035954 19553931 39107862 41280521 58661793 82561042 117323586 123841563 247683126 371524689 743049378 1114574067 2229148134 4990597723 9981195446 14971793169 29943586338 44915379507 89830759014 94821356737 134746138521 189642713474 269492277042 284464070211 568928140422 853392210633 1706784421266 2560176631899 5120353263798