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48936219660 = 2235543234167
BaseRepresentation
bin101101100100110100…
…110111010000001100
311200022110010112100000
4231210310313100030
51300210133012120
634251521004300
73351454001226
oct554464672014
9150273115300
1048936219660
1119832247149
129598783690
1347cb560cc3
14252333d416
1514162b5990
hexb64d3740c

48936219660 has 144 divisors (see below), whose sum is σ = 157518256896. Its totient is φ = 12746123712.

The previous prime is 48936219659. The next prime is 48936219667. The reversal of 48936219660 is 6691263984.

48936219660 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 621 + 9 + 6 + 6 + 0 = 666.

It is a super-2 number, since 2×489362196602 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48936219597 and 48936219606.

It is not an unprimeable number, because it can be changed into a prime (48936219667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91897 + ... + 326063.

It is an arithmetic number, because the mean of its divisors is an integer number (1093876784).

Almost surely, 248936219660 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 48936219660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78759128448).

48936219660 is an abundant number, since it is smaller than the sum of its proper divisors (108582037236).

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

48936219660 is a wasteful number, since it uses less digits than its factorization.

48936219660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234234 (or 234220 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 48936219660 in words is "forty-eight billion, nine hundred thirty-six million, two hundred nineteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3483 3870 4644 4860 5805 6966 7740 10449 11610 13932 17415 20898 23220 34830 41796 52245 69660 104490 208980 234167 468334 702501 936668 1170835 1405002 2107503 2341670 2810004 3512505 4215006 4683340 6322509 7025010 8430012 10069181 10537515 12645018 14050020 18967527 20138362 21075030 25290036 30207543 31612545 37935054 40276724 42150060 50345905 56902581 60415086 63225090 75870108 90622629 94837635 100691810 113805162 120830172 126450180 151037715 181245258 189675270 201383620 227610324 271867887 284512905 302075430 362490516 379350540 453113145 543735774 569025810 604150860 815603661 906226290 1087471548 1138051620 1359339435 1631207322 1812452580 2446810983 2718678870 3262414644 4078018305 4893621966 5437357740 8156036610 9787243932 12234054915 16312073220 24468109830 48936219660