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48693840525 = 3552116171181
BaseRepresentation
bin101101010110011000…
…010000101010001101
311122200120001101200000
4231112120100222031
51244211110344100
634211501554513
73342451546431
oct552630205215
9148616041600
1048693840525
1119718449110
12952b575a39
1347902892b5
1424dd0889c1
1513eed89900
hexb56610a8d

48693840525 has 144 divisors (see below), whose sum is σ = 98912294208. Its totient is φ = 23550912000.

The previous prime is 48693840511. The next prime is 48693840539. The reversal of 48693840525 is 52504839684.

48693840525 is a `hidden beast` number, since 4 + 86 + 9 + 38 + 4 + 0 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (48693840511) and next prime (48693840539).

It is not a de Polignac number, because 48693840525 - 213 = 48693832333 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41230435 + ... + 41231615.

It is an arithmetic number, because the mean of its divisors is an integer number (686890932).

Almost surely, 248693840525 is an apocalyptic number.

48693840525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48693840525 is an abundant number, since it is smaller than the sum of its proper divisors (50218453683).

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

48693840525 is a wasteful number, since it uses less digits than its factorization.

48693840525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 48693840525 in words is "forty-eight billion, six hundred ninety-three million, eight hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 495 617 675 825 891 1181 1215 1485 1851 2025 2475 2673 3085 3543 4455 5553 5905 6075 6787 7425 9255 10629 12991 13365 15425 16659 17715 20361 22275 27765 29525 31887 33935 38973 46275 49977 53145 61083 64955 66825 83295 88575 95661 101805 116919 138825 149931 159435 169675 183249 194865 249885 265725 286983 305415 324775 350757 416475 478305 509025 549747 584595 728677 749655 797175 916245 974325 1052271 1249425 1434915 1527075 1649241 1753785 2186031 2391525 2748735 2922975 3156813 3643385 3748275 4581225 5261355 6558093 7174575 8015447 8246205 8768925 10930155 13743675 15784065 18216925 19674279 24046341 26306775 32790465 40077235 41231025 54650775 59022837 72139023 78920325 98371395 120231705 163952325 177068511 200386175 216417069 295114185 360695115 491856975 601158525 649251207 885342555 1082085345 1475570925 1803475575 1947753621 3246256035 4426712775 5410426725 9738768105 16231280175 48693840525