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53540265246 = 231389109173409
BaseRepresentation
bin110001110111001111…
…111001110100011110
312010012022110021112220
4301313033321310132
51334122301441441
640332425410210
73603530513526
oct616717716436
9163168407486
1053540265246
11207850a17a6
12a462639966
135083366830
14283c9b0686
1515d55a7466
hexc773f9d1e

53540265246 has 128 divisors (see below), whose sum is σ = 118652688000. Its totient is φ = 16006864896.

The previous prime is 53540265227. The next prime is 53540265313. The reversal of 53540265246 is 64256204535.

It is a super-2 number, since 2×535402652462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53540265198 and 53540265207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130905090 + ... + 130905498.

It is an arithmetic number, because the mean of its divisors is an integer number (926974125).

Almost surely, 253540265246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53540265246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59326344000).

53540265246 is an abundant number, since it is smaller than the sum of its proper divisors (65112422754).

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

53540265246 is a wasteful number, since it uses less digits than its factorization.

53540265246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 53540265246 in words is "fifty-three billion, five hundred forty million, two hundred sixty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 89 109 173 178 218 267 327 346 409 519 534 654 818 1038 1157 1227 1417 2249 2314 2454 2834 3471 4251 4498 5317 6747 6942 8502 9701 10634 13494 15397 15951 18857 19402 29103 30794 31902 36401 37714 44581 46191 56571 58206 70757 72802 89162 92382 109203 113142 126113 133743 141514 200161 212271 218406 245141 252226 267486 378339 400322 424542 473213 490282 579553 600483 735423 756678 919841 946426 1159106 1200966 1419639 1470846 1678273 1738659 1839682 2759523 2839278 3356546 3477318 3967709 5034819 5519046 6297373 7712513 7935418 10069638 11903127 12594746 15425026 18892119 21817549 23137539 23806254 37784238 43635098 46275078 51580217 65452647 81865849 100262669 103160434 130905294 154740651 163731698 200525338 245597547 300788007 309481302 491195094 601576014 686413657 1372827314 2059240971 4118481942 8923377541 17846755082 26770132623 53540265246