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638587048014 = 2323141111724989
BaseRepresentation
bin10010100101011101100…
…00010001000001001110
32021001022020012012020200
421102232300101001032
540430311241014024
61205210212354330
764064532230166
oct11225660210116
92231266165220
10638587048014
11226906816923
12a39196159a6
13482ac077bb6
1422c9cd2b5a6
15119277a22c9
hex94aec1104e

638587048014 has 96 divisors (see below), whose sum is σ = 1464441189120. Its totient is φ = 200783577600.

The previous prime is 638587047997. The next prime is 638587048079. The reversal of 638587048014 is 410840785836.

638587048014 is a `hidden beast` number, since 6 + 3 + 8 + 587 + 0 + 48 + 0 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25542232 + ... + 25567220.

It is an arithmetic number, because the mean of its divisors is an integer number (15254595720).

Almost surely, 2638587048014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638587048014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732220594560).

638587048014 is an abundant number, since it is smaller than the sum of its proper divisors (825854141106).

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

638587048014 is a wasteful number, since it uses less digits than its factorization.

638587048014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26186 (or 26183 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 638587048014 in words is "six hundred thirty-eight billion, five hundred eighty-seven million, forty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 1117 1271 2234 2542 3351 3813 6702 7626 10053 11439 20106 22878 24989 34627 45797 49978 69254 74967 91594 103881 137391 149934 207762 224901 274782 311643 412173 449802 623286 774659 824346 1024549 1419707 1549318 2049098 2323977 2839414 3073647 4259121 4647954 6147294 6971931 8518242 9220941 12777363 13943862 18441882 25554726 27912713 31761019 55825426 63522038 83738139 95283057 167476278 190566114 251214417 285849171 502428834 571698342 865294103 1144421233 1730588206 2288842466 2595882309 3433263699 5191764618 6866527398 7787646927 10299791097 15575293854 20599582194 35477058223 70954116446 106431174669 212862349338 319293524007 638587048014