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130188185856 = 283275172
BaseRepresentation
bin111100100111111010…
…0100001000100000000
3110110001001001002002100
41321033310201010000
54113111133421411
6135450240350400
712256120215111
oct1711764410400
9413031032070
10130188185856
1150237922a33
1221293915400
13c379b83601
146430494208
1535be637456
hex1e4fd21100

130188185856 has 81 divisors (see below), whose sum is σ = 375414576901. Its totient is φ = 43390288896.

The previous prime is 130188185837. The next prime is 130188185863. The reversal of 130188185856 is 658581881031.

The square root of 130188185856 is 360816.

It is a perfect power (a square), and thus also a powerful number.

130188185856 is a `hidden beast` number, since 1 + 30 + 18 + 8 + 18 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121940640000 + 8247545856 = 349200^2 + 90816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17315410 + ... + 17322926.

Almost surely, 2130188185856 is an apocalyptic number.

130188185856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130188185856 is the 360816-th square number.

It is an amenable number.

130188185856 is an abundant number, since it is smaller than the sum of its proper divisors (245226391045).

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

130188185856 is an frugal number, since it uses more digits than its factorization.

130188185856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15056 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 130188185856 in words is "one hundred thirty billion, one hundred eighty-eight million, one hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7517 15034 22551 30068 45102 60136 67653 90204 120272 135306 180408 240544 270612 360816 481088 541224 721632 962176 1082448 1443264 1924352 2164896 2886528 4329792 5773056 8659584 17319168 56505289 113010578 169515867 226021156 339031734 452042312 508547601 678063468 904084624 1017095202 1356126936 1808169248 2034190404 2712253872 3616338496 4068380808 5424507744 7232676992 8136761616 10849015488 14465353984 16273523232 21698030976 32547046464 43396061952 65094092928 130188185856