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130363259088 = 24361369712043
BaseRepresentation
bin111100101101001000…
…0010111100011010000
3110110111020110201102010
41321122100113203100
54113440443242323
6135515453022520
712263344263516
oct1713220274320
9413436421363
10130363259088
1150317730057
1221322484a40
13c3a7220b3a
1464498284b6
1535cebbac93
hex1e5a4178d0

130363259088 has 80 divisors (see below), whose sum is σ = 342413617856. Its totient is φ = 42726942720.

The previous prime is 130363259083. The next prime is 130363259137. The reversal of 130363259088 is 880952363031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130363259083) 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 15 ways as a sum of consecutive naturals, for example, 10818795 + ... + 10830837.

Almost surely, 2130363259088 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 130363259088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171206808928).

130363259088 is an abundant number, since it is smaller than the sum of its proper divisors (212050358768).

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

130363259088 is a wasteful number, since it uses less digits than its factorization.

130363259088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 130363259088 in words is "one hundred thirty billion, three hundred sixty-three million, two hundred fifty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3697 7394 11091 12043 14788 22182 24086 29576 36129 44364 48172 59152 72258 88728 96344 144516 177456 192688 225517 289032 451034 578064 676551 734623 902068 1353102 1469246 1804136 2203869 2706204 2938492 3608272 4407738 5412408 5876984 8815476 10824816 11753968 17630952 35261904 44522971 89045942 133568913 178091884 267137826 356183768 534275652 712367536 1068551304 2137102608 2715901231 5431802462 8147703693 10863604924 16295407386 21727209848 32590814772 43454419696 65181629544 130363259088