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525435045872 = 2411109271110103
BaseRepresentation
bin1111010010101100101…
…11101000011111110000
31212020020110201220210112
413221112113220133300
532102042332431442
61041214224320452
752650525125132
oct7512627503760
91766213656715
10525435045872
11192921426970
12859bb173128
133a718846489
141b607295052
15da03add082
hex7a565e87f0

525435045872 has 80 divisors (see below), whose sum is σ = 1121291804160. Its totient is φ = 236532268800.

The previous prime is 525435045869. The next prime is 525435045893. The reversal of 525435045872 is 278540534525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 525435045872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52002773 + ... + 52012875.

It is an arithmetic number, because the mean of its divisors is an integer number (14016147552).

Almost surely, 2525435045872 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 525435045872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560645902080).

525435045872 is an abundant number, since it is smaller than the sum of its proper divisors (595856758288).

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

525435045872 is a wasteful number, since it uses less digits than its factorization.

525435045872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 50.

The spelling of 525435045872 in words is "five hundred twenty-five billion, four hundred thirty-five million, forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 2711 4796 5422 9592 10103 10844 19184 20206 21688 29821 40412 43376 59642 80824 111133 119284 161648 222266 238568 295499 444532 477136 590998 889064 1101227 1181996 1778128 2202454 2363992 3250489 4404908 4727984 6500978 8809816 12113497 13001956 17619632 24226994 26003912 27389233 48453988 52007824 54778466 96907976 109556932 193815952 219113864 301281563 438227728 602563126 1205126252 2410252504 2985426397 4820505008 5970852794 11941705588 23883411176 32839690367 47766822352 65679380734 131358761468 262717522936 525435045872