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48307765968 = 24327114356761
BaseRepresentation
bin101100111111010111…
…100000001011010000
311121200122120202221100
4230333113200023100
51242413242002333
634105311024400
73330053143560
oct547727401320
9147618522840
1048307765968
111953a524630
12944220b100
13472b2b2207
1424a3aaada0
1513cb027213
hexb3f5e02d0

48307765968 has 120 divisors (see below), whose sum is σ = 168554408256. Its totient is φ = 12547468800.

The previous prime is 48307765951. The next prime is 48307766009. The reversal of 48307765968 is 86956770384.

48307765968 is a `hidden beast` number, since 4 + 8 + 30 + 7 + 7 + 6 + 596 + 8 = 666.

48307765968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167293 + ... + 2189468.

Almost surely, 248307765968 is an apocalyptic number.

48307765968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48307765968 is an abundant number, since it is smaller than the sum of its proper divisors (120246642288).

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

48307765968 is a wasteful number, since it uses less digits than its factorization.

48307765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356793 (or 4356784 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 48307765968 in words is "forty-eight billion, three hundred seven million, seven hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 4356761 8713522 13070283 17427044 26140566 30497327 34854088 39210849 47924371 52281132 60994654 69708176 78421698 91491981 95848742 104562264 121989308 143773113 156843396 182983962 191697484 209124528 243978616 274475943 287546226 313686792 335470597 365967924 383394968 431319339 487957232 548951886 575092452 627373584 670941194 731935848 766789936 862638678 1006411791 1097903772 1150184904 1341882388 1463871696 1725277356 2012823582 2195807544 2300369808 2683764776 3019235373 3450554712 4025647164 4391615088 5367529552 6038470746 6901109424 8051294328 12076941492 16102588656 24153882984 48307765968