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48467380752 = 2433723696851
BaseRepresentation
bin101101001000111000…
…011000101000010000
311122002202221001021000
4231020320120220100
51243230122141002
634133212102000
73334031640030
oct551070305020
9148082831230
1048467380752
111961163357a
129487764900
13475539952b
1424bad798c0
1513da05561c
hexb48e18a10

48467380752 has 160 divisors (see below), whose sum is σ = 165906524160. Its totient is φ = 13245724800.

The previous prime is 48467380747. The next prime is 48467380811. The reversal of 48467380752 is 25708376484.

48467380752 is a `hidden beast` number, since 484 + 67 + 38 + 0 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278874 + ... + 417977.

It is an arithmetic number, because the mean of its divisors is an integer number (1036915776).

Almost surely, 248467380752 is an apocalyptic number.

48467380752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48467380752 is an abundant number, since it is smaller than the sum of its proper divisors (117439143408).

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

48467380752 is a wasteful number, since it uses less digits than its factorization.

48467380752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696898 (or 696886 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 48467380752 in words is "forty-eight billion, four hundred sixty-seven million, three hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 34776 69552 696851 1393702 2090553 2787404 4181106 4877957 5574808 6271659 8362212 9755914 11149616 12543318 14633871 16027573 16724424 18814977 19511828 25086636 29267742 32055146 33448848 37629954 39023656 43901613 48082719 50173272 58535484 64110292 75259908 78047312 87803226 96165438 100346544 112193011 117070968 128220584 131704839 144248157 150519816 175606452 192330876 224386022 234141936 256441168 263409678 288496314 301039632 336579033 351212904 384661752 432744471 448772044 526819356 576992628 673158066 702425808 769323504 865488942 897544088 1009737099 1053638712 1153985256 1346316132 1730977884 1795088176 2019474198 2107277424 2307970512 2692632264 3029211297 3461955768 4038948396 5385264528 6058422594 6923911536 8077896792 12116845188 16155793584 24233690376 48467380752