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5162683960 = 2357231515309
BaseRepresentation
bin1001100111011100…
…00100111000111000
3111022210111112000001
410303232010320320
541033121341320
62212142122344
7241636042510
oct46356047070
914283445001
105162683960
11220a222965
121000b803b4
1364377bba5
1436d92c840
1520338e20a
hex133b84e38

5162683960 has 128 divisors (see below), whose sum is σ = 13947033600. Its totient is φ = 1681574400.

The previous prime is 5162683919. The next prime is 5162683979. The reversal of 5162683960 is 693862615.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 5162683960.

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, 969786 + ... + 975094.

It is an arithmetic number, because the mean of its divisors is an integer number (108961200).

Almost surely, 25162683960 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 5162683960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973516800).

5162683960 is an abundant number, since it is smaller than the sum of its proper divisors (8784349640).

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

5162683960 is a wasteful number, since it uses less digits than its factorization.

5162683960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 5162683960 is about 71851.8194620011. The cubic root of 5162683960 is about 1728.3240766989.

The spelling of 5162683960 in words is "five billion, one hundred sixty-two million, six hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 151 161 184 230 280 302 322 460 604 644 755 805 920 1057 1208 1288 1510 1610 2114 3020 3220 3473 4228 5285 5309 6040 6440 6946 8456 10570 10618 13892 17365 21140 21236 24311 26545 27784 34730 37163 42280 42472 48622 53090 69460 74326 97244 106180 121555 122107 138920 148652 185815 194488 212360 243110 244214 297304 371630 486220 488428 610535 743260 801659 854749 972440 976856 1221070 1486520 1603318 1709498 2442140 3206636 3418996 4008295 4273745 4884280 5611613 6413272 6837992 8016590 8547490 11223226 16033180 17094980 18438157 22446452 28058065 32066360 34189960 36876314 44892904 56116130 73752628 92190785 112232260 129067099 147505256 184381570 224464520 258134198 368763140 516268396 645335495 737526280 1032536792 1290670990 2581341980 5162683960