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130207077792 = 25321123736429
BaseRepresentation
bin111100101000011110…
…0100101010110100000
3110110002100120212221200
41321100330211112200
54113131002442132
6135452153321200
712256436620461
oct1712074452640
9413070525850
10130207077792
1150247556800
122129a106200
13c380a6957c
146432bb0d68
1535c1119d7c
hex1e50f255a0

130207077792 has 108 divisors (see below), whose sum is σ = 406998110610. Its totient is φ = 39456679680.

The previous prime is 130207077769. The next prime is 130207077839. The reversal of 130207077792 is 297770702031.

It can be written as a sum of positive squares in only one way, i.e., 112678376976 + 17528700816 = 335676^2 + 132396^2 .

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 17 ways as a sum of consecutive naturals, for example, 1833367 + ... + 1903062.

Almost surely, 2130207077792 is an apocalyptic number.

130207077792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130207077792 is an abundant number, since it is smaller than the sum of its proper divisors (276791032818).

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

130207077792 is a wasteful number, since it uses less digits than its factorization.

130207077792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736467 (or 3736445 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The spelling of 130207077792 in words is "one hundred thirty billion, two hundred seven million, seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 3736429 7472858 11209287 14945716 22418574 29891432 33627861 41100719 44837148 59782864 67255722 82201438 89674296 119565728 123302157 134511444 164402876 179348592 246604314 269022888 328805752 358697184 369906471 452107909 493208628 538045776 657611504 739812942 904215818 986417256 1076091552 1315223008 1356323727 1479625884 1808431636 1972834512 2712647454 2959251768 3616863272 3945669024 4068971181 5425294908 5918503536 7233726544 8137942362 10850589816 11837007072 14467453088 16275884724 21701179632 32551769448 43402359264 65103538896 130207077792