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130642862152 = 23114171509989
BaseRepresentation
bin111100110101011101…
…0111110000001001000
3110111012201121000201011
41321222322332001020
54120024033042102
6140003321533304
712303311002015
oct1715272760110
9414181530634
10130642862152
1150450542a70
12213a0044234
13c42012993a
146474a0c70c
1535e94eb2d7
hex1e6aebe048

130642862152 has 64 divisors (see below), whose sum is σ = 277597756800. Its totient is φ = 57118656000.

The previous prime is 130642862123. The next prime is 130642862153. The reversal of 130642862152 is 251268246031.

It is a super-2 number, since 2×1306428621522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130642862153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174 + ... + 511162.

It is an arithmetic number, because the mean of its divisors is an integer number (4337464950).

Almost surely, 2130642862152 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 130642862152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138798878400).

130642862152 is an abundant number, since it is smaller than the sum of its proper divisors (146954894648).

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

130642862152 is a wasteful number, since it uses less digits than its factorization.

130642862152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510118 (or 510114 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 130642862152 in words is "one hundred thirty billion, six hundred forty-two million, eight hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 71 82 88 142 164 284 328 451 568 781 902 1562 1804 2911 3124 3608 5822 6248 11644 23288 32021 64042 128084 256168 509989 1019978 2039956 4079912 5609879 11219758 20909549 22439516 36209219 41819098 44879032 72418438 83638196 144836876 167276392 230005039 289673752 398301409 460010078 796602818 920020156 1484577979 1593205636 1840040312 2969155958 3186411272 5938311916 11876623832 16330357769 32660715538 65321431076 130642862152