Search a number
-
+
130737330504 = 233311401913691
BaseRepresentation
bin111100111000010001…
…1010101100101001000
3110111110022100111221000
41321300203111211020
54120222224034004
6140020534415000
712305535654654
oct1716043254510
9414408314830
10130737330504
11504998a6490
1221407801460
13c436884681
14648339da64
15360295bc39
hex1e708d5948

130737330504 has 128 divisors (see below), whose sum is σ = 396301248000. Its totient is φ = 39604622400.

The previous prime is 130737330487. The next prime is 130737330583. The reversal of 130737330504 is 405033737031.

It is a happy number.

130737330504 is a `hidden beast` number, since 13 + 0 + 73 + 73 + 3 + 0 + 504 = 666.

It is a super-3 number, since 3×1307373305043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9542299 + ... + 9555989.

It is an arithmetic number, because the mean of its divisors is an integer number (3096103500).

Almost surely, 2130737330504 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 130737330504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198150624000).

130737330504 is an abundant number, since it is smaller than the sum of its proper divisors (265563917496).

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

130737330504 is a wasteful number, since it uses less digits than its factorization.

130737330504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17726 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The spelling of 130737330504 in words is "one hundred thirty billion, seven hundred thirty-seven million, three hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4019 8038 12057 13691 16076 24114 27382 32152 36171 41073 44209 48228 54764 72342 82146 88418 96456 108513 109528 123219 132627 144684 150601 164292 176836 217026 246438 265254 289368 301202 328584 353672 369657 397881 434052 451803 492876 530508 602404 739314 795762 868104 903606 985752 1061016 1193643 1204808 1355409 1478628 1591524 1807212 2387286 2710818 2957256 3183048 3614424 4066227 4774572 5421636 8132454 9549144 10843272 16264908 32529816 55024129 110048258 165072387 220096516 330144774 440193032 495217161 605265419 660289548 990434322 1210530838 1320579096 1485651483 1815796257 1980868644 2421061676 2971302966 3631592514 3961737288 4842123352 5447388771 5942605932 7263185028 10894777542 11885211864 14526370056 16342166313 21789555084 32684332626 43579110168 65368665252 130737330504