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52540110414 = 23211535984859
BaseRepresentation
bin110000111011101000…
…100111011001001110
312000121121111011001100
4300323220213121032
51330100232013124
640045300523530
73536664366321
oct607350473116
9160547434040
1052540110414
1120311582660
12a2236b05a6
134c540a403c
142785c227b8
1515778951c9
hexc3ba2764e

52540110414 has 96 divisors (see below), whose sum is σ = 128674915200. Its totient is φ = 15355903680.

The previous prime is 52540110407. The next prime is 52540110433. The reversal of 52540110414 is 41401104525.

52540110414 is a `hidden beast` number, since 5 + 2 + 540 + 1 + 104 + 14 = 666.

It is a super-2 number, since 2×525401104142 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 576717 + ... + 661575.

It is an arithmetic number, because the mean of its divisors is an integer number (1340363700).

Almost surely, 252540110414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52540110414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64337457600).

52540110414 is an abundant number, since it is smaller than the sum of its proper divisors (76134804786).

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

52540110414 is a wasteful number, since it uses less digits than its factorization.

52540110414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84990 (or 84987 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 52540110414 its reverse (41401104525), we get a palindrome (93941214939).

The spelling of 52540110414 in words is "fifty-two billion, five hundred forty million, one hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 59 66 99 106 118 159 177 198 318 354 477 531 583 649 954 1062 1166 1298 1749 1947 3127 3498 3894 5247 5841 6254 9381 10494 11682 18762 28143 34397 56286 68794 84859 103191 169718 206382 254577 309573 509154 619146 763731 933449 1527462 1866898 2800347 4497527 5006681 5600694 8401041 8995054 10013362 13492581 15020043 16802082 26985162 30040086 40477743 45060129 49472797 55073491 80955486 90120258 98945594 110146982 148418391 165220473 265354093 296836782 330440946 445255173 495661419 530708186 796062279 890510346 991322838 1592124558 2388186837 2918895023 4776373674 5837790046 8756685069 17513370138 26270055207 52540110414