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48234968628 = 223711252120707
BaseRepresentation
bin101100111011000001…
…110011011000110100
311121111120121021202120
4230323001303120310
51242241122444003
634054150435540
73325210316460
oct547301633064
9147446537676
1048234968628
1119502422940
129421962bb0
1347191a4372
14249815b4a0
1513c4947853
hexb3b073634

48234968628 has 96 divisors (see below), whose sum is σ = 140382348288. Its totient is φ = 12522988800.

The previous prime is 48234968597. The next prime is 48234968633. The reversal of 48234968628 is 82686943284.

48234968628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×482349686282 (a number of 22 digits) contains 22 as substring.

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, 2319051 + ... + 2339757.

It is an arithmetic number, because the mean of its divisors is an integer number (1462316128).

Almost surely, 248234968628 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 48234968628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70191174144).

48234968628 is an abundant number, since it is smaller than the sum of its proper divisors (92147379660).

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

48234968628 is a wasteful number, since it uses less digits than its factorization.

48234968628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23253 (or 23251 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 48234968628 in words is "forty-eight billion, two hundred thirty-four million, nine hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2521 5042 7563 10084 15126 17647 20707 27731 30252 35294 41414 52941 55462 62121 70588 82828 83193 105882 110924 124242 144949 166386 194117 211764 227777 248484 289898 332772 388234 434847 455554 579796 582351 683331 776468 869694 911108 1164702 1366662 1594439 1739388 2329404 2733324 3188878 4783317 6377756 9566634 19133268 52202347 104404694 156607041 208809388 313214082 365416429 574225817 626428164 730832858 1096249287 1148451634 1461665716 1722677451 2192498574 2296903268 3445354902 4019580719 4384997148 6890709804 8039161438 12058742157 16078322876 24117484314 48234968628