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48487028688 = 24327223721503
BaseRepresentation
bin101101001010000011…
…010101011111010000
311122011010220021011100
4231022003111133100
51243300134404223
634135153144400
73334360641450
oct551203253720
9148133807140
1048487028688
111962173333a
12949225b100
134759488627
1424bd811d60
1513dbb37043
hexb4a0d57d0

48487028688 has 120 divisors (see below), whose sum is σ = 155158069248. Its totient is φ = 13846599936.

The previous prime is 48487028659. The next prime is 48487028719. The reversal of 48487028688 is 88682078484.

48487028688 is a `hidden beast` number, since 484 + 8 + 70 + 2 + 8 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2244145 + ... + 2265647.

Almost surely, 248487028688 is an apocalyptic number.

48487028688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48487028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77579034624).

48487028688 is an abundant number, since it is smaller than the sum of its proper divisors (106671040560).

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

48487028688 is a wasteful number, since it uses less digits than its factorization.

48487028688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23761 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 48487028688 in words is "forty-eight billion, four hundred eighty-seven million, twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2237 4474 6711 8948 13422 15659 17896 20133 21503 26844 31318 35792 40266 43006 46977 53688 62636 64509 80532 86012 93954 107376 125272 129018 140931 150521 161064 172024 187908 193527 250544 258036 281862 301042 322128 344048 375816 387054 451563 516072 563724 602084 751632 774108 903126 1032144 1127448 1204168 1354689 1548216 1806252 2254896 2408336 2709378 3096432 3612504 5418756 7225008 10837512 21675024 48102211 96204422 144306633 192408844 288613266 336715477 384817688 432919899 577226532 673430954 769635376 865839798 1010146431 1154453064 1346861908 1731679596 2020292862 2308906128 2693723816 3030439293 3463359192 4040585724 5387447632 6060878586 6926718384 8081171448 12121757172 16162342896 24243514344 48487028688