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52540290846 = 2341515873659
BaseRepresentation
bin110000111011101001…
…010011011100011110
312000121121211022120000
4300323221103130132
51330100303301341
640045304435130
73536666050341
oct607351233436
9160547738500
1052540290846
112031169617a
12a223778aa6
134c541381c4
142785c6c458
1515778cd8b6
hexc3ba5371e

52540290846 has 80 divisors (see below), whose sum is σ = 118743166080. Its totient is φ = 17363062800.

The previous prime is 52540290841. The next prime is 52540290871. The reversal of 52540290846 is 64809204525.

52540290846 is a `hidden beast` number, since 5 + 2 + 540 + 29 + 0 + 84 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52540290841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14357365 + ... + 14361023.

It is an arithmetic number, because the mean of its divisors is an integer number (1484289576).

Almost surely, 252540290846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52540290846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371583040).

52540290846 is an abundant number, since it is smaller than the sum of its proper divisors (66202875234).

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

52540290846 is a wasteful number, since it uses less digits than its factorization.

52540290846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 52540290846 in words is "fifty-two billion, five hundred forty million, two hundred ninety thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 302 453 587 906 1174 1359 1761 2718 3522 3659 4077 5283 7318 8154 10566 10977 12231 15849 21954 24462 31698 32931 47547 65862 88637 95094 98793 177274 197586 265911 296379 531822 552509 592758 797733 1105018 1595466 1657527 2147833 2393199 3315054 4295666 4786398 4972581 6443499 7179597 9945162 12886998 14359194 14917743 19330497 29835486 38660994 44753229 57991491 89506458 115982982 173974473 324322783 347948946 648645566 972968349 1945936698 2918905047 5837810094 8756715141 17513430282 26270145423 52540290846