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5168371120 = 2451125123399
BaseRepresentation
bin1001101000000111…
…10001010110110000
3111100012012110022121
410310003301112300
541041100333440
62212504044024
7242035300243
oct46403612660
914305173277
105168371120
1122124577a0
121002a63614
136449c0683
143705ad25a
15203b1434a
hex1340f15b0

5168371120 has 80 divisors (see below), whose sum is σ = 13161657600. Its totient is φ = 1871840000.

The previous prime is 5168371081. The next prime is 5168371129. The reversal of 5168371120 is 211738615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5168371129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209181 + ... + 232579.

It is an arithmetic number, because the mean of its divisors is an integer number (164520720).

Almost surely, 25168371120 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 5168371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

5168371120 is an abundant number, since it is smaller than the sum of its proper divisors (7993286480).

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

5168371120 is a wasteful number, since it uses less digits than its factorization.

5168371120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674 (or 23668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 5168371120 is about 71891.3841847547. The cubic root of 5168371120 is about 1728.9584785313.

The spelling of 5168371120 in words is "five billion, one hundred sixty-eight million, three hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 880 1004 1255 2008 2510 2761 4016 5020 5522 10040 11044 13805 20080 22088 23399 27610 44176 46798 55220 93596 110440 116995 187192 220880 233990 257389 374384 467980 514778 935960 1029556 1286945 1871920 2059112 2573890 4118224 5147780 5873149 10295560 11746298 20591120 23492596 29365745 46985192 58731490 64604639 93970384 117462980 129209278 234925960 258418556 323023195 469851920 516837112 646046390 1033674224 1292092780 2584185560 5168371120