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130124770656 = 2535325574837
BaseRepresentation
bin111100100110000001…
…0100110110101100000
3110102212121201020210020
41321030002212311200
54112443420130111
6135440053233440
712254420205126
oct1711402466540
9412777636706
10130124770656
115020504a181
1221276632880
13c3699ac01a
146425ca7916
1535b8cac906
hex1e4c0a6d60

130124770656 has 48 divisors (see below), whose sum is σ = 348022395504. Its totient is φ = 42556527104.

The previous prime is 130124770609. The next prime is 130124770663. The reversal of 130124770656 is 656077421031.

It is a happy number.

130124770656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12782331 + ... + 12792506.

It is an arithmetic number, because the mean of its divisors is an integer number (7250466573).

Almost surely, 2130124770656 is an apocalyptic number.

130124770656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130124770656 is an abundant number, since it is smaller than the sum of its proper divisors (217897624848).

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

130124770656 is a wasteful number, since it uses less digits than its factorization.

130124770656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25574903 (or 25574895 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 130124770656 in words is "one hundred thirty billion, one hundred twenty-four million, seven hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 25574837 51149674 76724511 102299348 153449022 204598696 306898044 409197392 613796088 818394784 1227592176 1355466361 2455184352 2710932722 4066399083 5421865444 8132798166 10843730888 16265596332 21687461776 32531192664 43374923552 65062385328 130124770656