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130554535344 = 24331491178693
BaseRepresentation
bin111100110010110101…
…0000001110110110000
3110110222120101120002220
41321211222001312300
54114333430112334
6135550444441040
712301156145322
oct1714552016660
9413876346086
10130554535344
11504056a4802
1221376549180
13c407a4245c
146466db9612
1535e18a0449
hex1e65a81db0

130554535344 has 80 divisors (see below), whose sum is σ = 348856433664. Its totient is φ = 42028358400.

The previous prime is 130554535343. The next prime is 130554535351. The reversal of 130554535344 is 443535455031.

It is a happy number.

130554535344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130554535296 and 130554535305.

It is not an unprimeable number, because it can be changed into a prime (130554535343) 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, 641262 + ... + 819954.

Almost surely, 2130554535344 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 130554535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174428216832).

130554535344 is an abundant number, since it is smaller than the sum of its proper divisors (218301898320).

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

130554535344 is a wasteful number, since it uses less digits than its factorization.

130554535344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179226 (or 179220 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 130554535344 in words is "one hundred thirty billion, five hundred fifty-four million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 491 496 744 982 1473 1488 1964 2946 3928 5892 7856 11784 15221 23568 30442 45663 60884 91326 121768 178693 182652 243536 357386 365304 536079 714772 730608 1072158 1429544 2144316 2859088 4288632 5539483 8577264 11078966 16618449 22157932 33236898 44315864 66473796 87738263 88631728 132947592 175476526 263214789 265895184 350953052 526429578 701906104 1052859156 1403812208 2105718312 2719886153 4211436624 5439772306 8159658459 10879544612 16319316918 21759089224 32638633836 43518178448 65277267672 130554535344