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130584869604 = 22347103559001
BaseRepresentation
bin111100110011101110…
…1101111101011100100
3110111001200110200220000
41321213131233223210
54114414211311404
6135553450541300
712302005035360
oct1714735575344
9414050420800
10130584869604
1150420833342
1221384737830
13c411103617
14646b0342a0
1535e4393339
hex1e6776fae4

130584869604 has 120 divisors (see below), whose sum is σ = 393930945408. Its totient is φ = 36947664000.

The previous prime is 130584869603. The next prime is 130584869617. The reversal of 130584869604 is 406968485031.

It is a super-3 number, since 3×1305848696043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (130584869603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45897 + ... + 513104.

Almost surely, 2130584869604 is an apocalyptic number.

130584869604 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 130584869604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196965472704).

130584869604 is an abundant number, since it is smaller than the sum of its proper divisors (263346075804).

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

130584869604 is a wasteful number, since it uses less digits than its factorization.

130584869604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559127 (or 559116 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 130584869604 in words is "one hundred thirty billion, five hundred eighty-four million, eight hundred sixty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 206 252 309 324 378 412 567 618 721 756 927 1134 1236 1442 1854 2163 2268 2781 2884 3708 4326 5562 6489 8343 8652 11124 12978 16686 19467 25956 33372 38934 58401 77868 116802 233604 559001 1118002 1677003 2236004 3354006 3913007 5031009 6708012 7826014 10062018 11739021 15093027 15652028 20124036 23478042 30186054 35217063 45279081 46956084 57577103 60372108 70434126 90558162 105651189 115154206 140868252 172731309 181116324 211302378 230308412 316953567 345462618 403039721 422604756 518193927 633907134 690925236 806079442 1036387854 1209119163 1267814268 1554581781 1612158884 2072775708 2418238326 3109163562 3627357489 4663745343 4836476652 6218327124 7254714978 9327490686 10882072467 14509429956 18654981372 21764144934 32646217401 43528289868 65292434802 130584869604