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514020232026 = 232722340994463
BaseRepresentation
bin1110111101011011111…
…11100100101101011010
31211010202221202021221100
413132231333210231122
531410203134411101
61032045421252230
752064620611360
oct7365577445532
91733687667840
10514020232026
11188aa4025314
1283754404076
13396199c1862
141ac43285630
15d586910e86
hex77adfe4b5a

514020232026 has 96 divisors (see below), whose sum is σ = 1279118131200. Its totient is φ = 146135925792.

The previous prime is 514020232013. The next prime is 514020232027. The reversal of 514020232026 is 620232020415.

It is a happy number.

514020232026 is a `hidden beast` number, since 5 + 1 + 402 + 0 + 232 + 0 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (514020232027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115171471 + ... + 115175933.

It is an arithmetic number, because the mean of its divisors is an integer number (13324147200).

Almost surely, 2514020232026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514020232026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639559065600).

514020232026 is an abundant number, since it is smaller than the sum of its proper divisors (765097899174).

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

514020232026 is a wasteful number, since it uses less digits than its factorization.

514020232026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 514020232026 in words is "five hundred fourteen billion, twenty million, two hundred thirty-two thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 3122 4014 4099 4463 4683 8198 8926 9366 12297 13389 14049 24594 26778 28098 28693 31241 36891 40167 57386 62482 73782 80334 86079 93723 172158 187446 258237 281169 516474 562338 914077 995249 1828154 1990498 2742231 2985747 5484462 5971494 6398539 6966743 8226693 8957241 12797078 13933486 16453386 17914482 18293837 19195617 20900229 36587674 38391234 41800458 54881511 57586851 62700687 109763022 115173702 125401374 128056859 164644533 256113718 329289066 384170577 768341154 1152511731 2305023462 4079525651 8159051302 12238576953 24477153906 28556679557 36715730859 57113359114 73431461718 85670038671 171340077342 257010116013 514020232026