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5141504553345 = 3251973074334363
BaseRepresentation
bin100101011010001100110…
…0011010111000110000001
3200012112010021220020100100
41022310121203113012001
51133214300131201340
614533550302113013
71040314163422266
oct112643143270601
920175107806310
105141504553345
111702555310916
126b055b57b769
132b3ac3580bc4
1413abc8b4126d
158db2058b830
hex4ad198d7181

5141504553345 has 96 divisors (see below), whose sum is σ = 9009174125952. Its totient is φ = 2712427554816.

The previous prime is 5141504553331. The next prime is 5141504553397. The reversal of 5141504553345 is 5433554051415.

It is a happy number.

5141504553345 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 50 + 4 + 553 + 3 + 45 = 666.

It is not a de Polignac number, because 5141504553345 - 24 = 5141504553329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5141504553345.

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 95 ways as a sum of consecutive naturals, for example, 1178431134 + ... + 1178435496.

It is an arithmetic number, because the mean of its divisors is an integer number (93845563812).

Almost surely, 25141504553345 is an apocalyptic number.

It is an amenable number.

5141504553345 is a deficient number, since it is larger than the sum of its proper divisors (3867669572607).

5141504553345 is a wasteful number, since it uses less digits than its factorization.

5141504553345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 5141504553345 in words is "five trillion, one hundred forty-one billion, five hundred four million, five hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 197 307 433 591 921 985 1299 1535 1773 2165 2763 2955 3897 4363 4605 6495 8865 13089 13815 19485 21815 39267 60479 65445 85301 132931 181437 196335 255903 302395 398793 426505 544311 664655 767709 859511 907185 1196379 1279515 1339441 1889179 1993965 2578533 2721555 3838545 4018323 4297555 5667537 5981895 6697205 7735599 9445895 12054969 12892665 17002611 20091615 26187407 28337685 38677995 60274845 78562221 85013055 130937035 235686663 263869877 372168263 392811105 579977953 791609631 1116504789 1178433315 1319349385 1739933859 1860841315 2374828893 2899889765 3349514367 3958048155 5219801577 5582523945 8699669295 11874144465 16747571835 26099007885 114255656741 342766970223 571278283705 1028300910669 1713834851115 5141504553345