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48301968216 = 23317897971669
BaseRepresentation
bin101100111111000001…
…011000101101011000
311121200020200012220210
4230333001120231120
51242410300440331
634104542451120
73326652645525
oct547701305530
9147606605823
1048301968216
11195372246a7
129440293aa0
13472a0322a8
1424a2ddc14c
1513ca77e446
hexb3f058b58

48301968216 has 128 divisors (see below), whose sum is σ = 129534552000. Its totient is φ = 14955528192.

The previous prime is 48301968203. The next prime is 48301968251. The reversal of 48301968216 is 61286910384.

48301968216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 28939830 + ... + 28941498.

Almost surely, 248301968216 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 48301968216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64767276000).

48301968216 is an abundant number, since it is smaller than the sum of its proper divisors (81232583784).

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

48301968216 is a wasteful number, since it uses less digits than its factorization.

48301968216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 48301968216 in words is "forty-eight billion, three hundred one million, nine hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 534 712 797 1068 1513 1594 1669 2136 2391 3026 3188 3338 4539 4782 5007 6052 6376 6676 9078 9564 10014 12104 13352 13549 18156 19128 20028 27098 28373 36312 40056 40647 54196 56746 70933 81294 85119 108392 113492 141866 148541 162588 170238 212799 226984 283732 297082 325176 340476 425598 445623 567464 594164 680952 851196 891246 1188328 1205861 1330193 1702392 1782492 2411722 2525197 2660386 3564984 3617583 3990579 4823444 5050394 5320772 7235166 7575591 7981158 9646888 10100788 10641544 14470332 15151182 15962316 20201576 22613281 28940664 30302364 31924632 45226562 60604728 67839843 90453124 118387177 135679686 180906248 236774354 271359372 355161531 473548708 542718744 710323062 947097416 1420646124 2012582009 2841292248 4025164018 6037746027 8050328036 12075492054 16100656072 24150984108 48301968216