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49379638506 = 231121714892687
BaseRepresentation
bin101101111111010000…
…010111110011101010
311201110100111112122020
4231333100113303222
51302112141413011
634403521005310
73365450000442
oct557720276352
9151410445566
1049379638506
1119a3a578300
1296a1183836
13486c395313
1425661a7122
1514401a4006
hexb7f417cea

49379638506 has 96 divisors (see below), whose sum is σ = 115059087360. Its totient is φ = 14068623360.

The previous prime is 49379638501. The next prime is 49379638559. The reversal of 49379638506 is 60583697394.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49379638506.

It is not an unprimeable number, because it can be changed into a prime (49379638501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18375895 + ... + 18378581.

It is an arithmetic number, because the mean of its divisors is an integer number (1198532160).

Almost surely, 249379638506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49379638506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57529543680).

49379638506 is an abundant number, since it is smaller than the sum of its proper divisors (65679448854).

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

49379638506 is a wasteful number, since it uses less digits than its factorization.

49379638506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 49379638506 in words is "forty-nine billion, three hundred seventy-nine million, six hundred thirty-eight thousand, five hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 1489 2057 2687 2978 4114 4467 5374 6171 8061 8934 12342 16122 16379 25313 29557 32758 45679 49137 50626 59114 75939 88671 91358 98274 137037 151878 177342 180169 274074 278443 325127 360338 502469 540507 556886 650254 835329 975381 1004938 1081014 1507407 1670658 1950762 3014814 3062873 4000943 5527159 6125746 8001886 9188619 11054318 12002829 16581477 18377238 24005658 33162954 44010373 68016031 88020746 132031119 136032062 204048093 264062238 408096186 484114103 748176341 968228206 1452342309 1496352682 2244529023 2904684618 4489058046 8229939751 16459879502 24689819253 49379638506