Search a number
-
+
4168355139025 = 527211253032
BaseRepresentation
bin111100101010000101010…
…100111100110111010001
3112202111020211120212222121
4330222011110330313101
51021243242403422100
612510525500534241
7610103504036200
oct74520524746721
915674224525877
104168355139025
111367875897400
12573a31851381
132430c70407ac
14105a6c765237
15736661e451a
hex3ca8553cdd1

4168355139025 has 81 divisors (see below), whose sum is σ = 6610180953243. Its totient is φ = 2597965154400.

The previous prime is 4168355139019. The next prime is 4168355139041. The reversal of 4168355139025 is 5209315538614.

The square root of 4168355139025 is 2041655.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1500607850049 + 2667747288976 = 1224993^2 + 1633324^2 .

It is not a de Polignac number, because 4168355139025 - 25 = 4168355138993 is a prime.

It is a super-3 number, since 3×41683551390253 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 786034524 + ... + 786039826.

Almost surely, 24168355139025 is an apocalyptic number.

4168355139025 is the 2041655-th square number.

4168355139025 is the 1020828-th centered octagonal number.

It is an amenable number.

4168355139025 is a deficient number, since it is larger than the sum of its proper divisors (2441825814218).

4168355139025 is an frugal number, since it uses more digits than its factorization.

4168355139025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 4168355139025 in words is "four trillion, one hundred sixty-eight billion, three hundred fifty-five million, one hundred thirty-nine thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 4235 5303 5929 13475 21175 26515 29645 37121 58333 132575 148225 185605 259847 291665 408331 641663 928025 1299235 1458325 2041655 2858317 3208315 4491641 6496175 10208275 14291585 16041575 22458205 28121809 31441487 71457925 112291025 140609045 157207435 196852663 309339899 703045225 786037175 984263315 1377968641 1546699495 2165379293 3402738889 4921316575 6889843205 7733497475 10826896465 15157655051 17013694445 23819172223 34449216025 54134482325 75788275255 85068472225 119095861115 166734205561 378941376275 595479305575 833671027805 4168355139025