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10272041916474 = 23133112793321467
BaseRepresentation
bin1001010101111010010101…
…1010001101100000111010
31100100222221021002111000110
42111132211122031200322
52321244120212311344
633502524431245150
72110062526442232
oct225364532154072
940328837074013
1010272041916474
113300391963368
12119a95a0797b6
13596859954330
142772530b2cc2
1512c2ecdba3b9
hex957a568d83a

10272041916474 has 64 divisors (see below), whose sum is σ = 22855951319040. Its totient is φ = 3056280154560.

The previous prime is 10272041916469. The next prime is 10272041916491. The reversal of 10272041916474 is 47461914027201.

10272041916474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431889 + ... + 4753355.

It is an arithmetic number, because the mean of its divisors is an integer number (357124239360).

Almost surely, 210272041916474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10272041916474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427975659520).

10272041916474 is an abundant number, since it is smaller than the sum of its proper divisors (12583909402566).

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

10272041916474 is a wasteful number, since it uses less digits than its factorization.

10272041916474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322795.

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10272041916474 in words is "ten trillion, two hundred seventy-two billion, forty-one million, nine hundred sixteen thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 1279 2418 2558 3837 7674 16627 33254 39649 49881 79298 99762 118947 237894 515437 1030874 1546311 3092622 3321467 6642934 9964401 19928802 43179071 86358142 102965477 129537213 205930954 259074426 308896431 617792862 1338551201 2677102402 4015653603 4248156293 8031307206 8496312586 12744468879 25488937758 55226031809 110452063618 131692845083 165678095427 263385690166 331356190854 395078535249 790157070498 1712006986079 3424013972158 5136020958237 10272041916474