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130728389064 = 233713174134381
BaseRepresentation
bin111100111000000000…
…1001110100111001000
3110111102200112020120120
41321300001032213020
54120212431422224
6140020015023240
712305366654430
oct1716001164710
9414380466516
10130728389064
1150494849669
122140480ab20
13c434a73890
1464821132c0
153601c92779
hex1e7004e9c8

130728389064 has 128 divisors (see below), whose sum is σ = 402483943680. Its totient is φ = 34457011200.

The previous prime is 130728389053. The next prime is 130728389093. The reversal of 130728389064 is 460983827031.

It is a junction number, because it is equal to n+sod(n) for n = 130728388998 and 130728389016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3785154 + ... + 3819534.

It is an arithmetic number, because the mean of its divisors is an integer number (3144405810).

Almost surely, 2130728389064 is an apocalyptic number.

130728389064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130728389064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201241971840).

130728389064 is an abundant number, since it is smaller than the sum of its proper divisors (271755554616).

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

130728389064 is a wasteful number, since it uses less digits than its factorization.

130728389064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36151 (or 36147 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 130728389064 in words is "one hundred thirty billion, seven hundred twenty-eight million, three hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1741 2184 3482 5223 6964 10446 12187 13928 20892 22633 24374 34381 36561 41784 45266 48748 67899 68762 73122 90532 97496 103143 135798 137524 146244 158431 181064 206286 240667 271596 275048 292488 316862 412572 446953 475293 481334 543192 633724 722001 825144 893906 950586 962668 1267448 1340859 1444002 1787812 1901172 1925336 2681718 2888004 3128671 3575624 3802344 5363436 5776008 6257342 9386013 10726872 12514684 18772026 25029368 37544052 59857321 75088104 119714642 179571963 239429284 359143926 419001247 478858568 718287852 778145173 838002494 1257003741 1436575704 1556290346 1676004988 2334435519 2514007482 3112580692 3352009976 4668871038 5028014964 5447016211 6225161384 9337742076 10056029928 10894032422 16341048633 18675484152 21788064844 32682097266 43576129688 65364194532 130728389064