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48106739856 = 2437436535099
BaseRepresentation
bin101100110011011000…
…101001100010010000
311121011122022120221210
4230303120221202100
51242010311133411
634033330220120
73322062353610
oct546330514220
9147148276853
1048106739856
111944700074a
1293a6a24640
1346c8758b56
1424850dca40
1513b8568ca6
hexb33629890

48106739856 has 160 divisors (see below), whose sum is σ = 145583539200. Its totient is φ = 13401948672.

The previous prime is 48106739843. The next prime is 48106739867. The reversal of 48106739856 is 65893760184.

It is a super-3 number, since 3×481067398563 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48106739796 and 48106739805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9431995 + ... + 9437093.

It is an arithmetic number, because the mean of its divisors is an integer number (909897120).

Almost surely, 248106739856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48106739856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72791769600).

48106739856 is an abundant number, since it is smaller than the sum of its proper divisors (97476799344).

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

48106739856 is a wasteful number, since it uses less digits than its factorization.

48106739856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 48106739856 in words is "forty-eight billion, one hundred six million, seven hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 653 688 903 1032 1204 1306 1806 1959 2064 2408 2612 3612 3918 4571 4816 5099 5224 7224 7836 9142 10198 10448 13713 14448 15297 15672 18284 20396 27426 28079 30594 31344 35693 36568 40792 54852 56158 61188 71386 73136 81584 84237 107079 109704 112316 122376 142772 168474 196553 214158 219257 219408 224632 244752 285544 336948 393106 428316 438514 449264 571088 589659 657771 673896 786212 856632 877028 1179318 1315542 1347792 1534799 1572424 1713264 1754056 2358636 2631084 3069598 3144848 3329647 3508112 4604397 4717272 5262168 6139196 6659294 9208794 9434544 9988941 10524336 12278392 13318588 18417588 19977882 23307529 24556784 26637176 36835176 39955764 46615058 53274352 69922587 73670352 79911528 93230116 139845174 143174821 159823056 186460232 279690348 286349642 372920464 429524463 559380696 572699284 859048926 1002223747 1118761392 1145398568 1718097852 2004447494 2290797136 3006671241 3436195704 4008894988 6013342482 6872391408 8017789976 12026684964 16035579952 24053369928 48106739856