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13858159120 = 2451333593967
BaseRepresentation
bin11001110100000001…
…01011101000010000
31022202210120102110121
430322000223220100
5211340142042440
610211044240024
71000263260161
oct147200535020
938683512417
1013858159120
11597162a073
1228290a0014
1313cb108970
14956713768
1556196634a
hex33a02ba10

13858159120 has 80 divisors (see below), whose sum is σ = 34717777920. Its totient is φ = 5114045952.

The previous prime is 13858159087. The next prime is 13858159123. The reversal of 13858159120 is 2195185831.

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 (13858159123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3491377 + ... + 3495343.

It is an arithmetic number, because the mean of its divisors is an integer number (433972224).

Almost surely, 213858159120 is an apocalyptic number.

13858159120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13858159120 is an abundant number, since it is smaller than the sum of its proper divisors (20859618800).

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

13858159120 is a wasteful number, since it uses less digits than its factorization.

13858159120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 13858159120 in words is "thirteen billion, eight hundred fifty-eight million, one hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3359 3967 6718 7934 13436 15868 16795 19835 26872 31736 33590 39670 43667 51571 53744 63472 67180 79340 87334 103142 134360 158680 174668 206284 218335 257855 268720 317360 349336 412568 436670 515710 698672 825136 873340 1031420 1746680 2062840 3493360 4125680 13325153 26650306 53300612 66625765 106601224 133251530 173226989 213202448 266503060 346453978 533006120 692907956 866134945 1066012240 1385815912 1732269890 2771631824 3464539780 6929079560 13858159120