Search a number
-
+
130881874176 = 283275372
BaseRepresentation
bin111100111100100101…
…0101110100100000000
3110111211101100002120100
41321321022232210000
54121021224433201
6140043140442400
712312242401044
oct1717112564400
9414741302510
10130881874176
1150563451269
12214480a9400
13c45a7c2b81
146498668024
1536104ae886
hex1e792ae900

130881874176 has 81 divisors (see below), whose sum is σ = 377414784201. Its totient is φ = 43621502976.

The previous prime is 130881874159. The next prime is 130881874181. The reversal of 130881874176 is 671478188031.

The square root of 130881874176 is 361776.

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

130881874176 is a `hidden beast` number, since 130 + 88 + 18 + 7 + 417 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56339769600 + 74542104576 = 237360^2 + 273024^2 .

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 8 ways as a sum of consecutive naturals, for example, 17361480 + ... + 17369016.

Almost surely, 2130881874176 is an apocalyptic number.

130881874176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130881874176 is the 361776-th square number.

It is an amenable number.

130881874176 is an abundant number, since it is smaller than the sum of its proper divisors (246532910025).

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

130881874176 is an frugal number, since it uses more digits than its factorization.

130881874176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15096 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 130881874176 in words is "one hundred thirty billion, eight hundred eighty-one million, eight hundred seventy-four thousand, one hundred seventy-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 7537 15074 22611 30148 45222 60296 67833 90444 120592 135666 180888 241184 271332 361776 482368 542664 723552 964736 1085328 1447104 1929472 2170656 2894208 4341312 5788416 8682624 17365248 56806369 113612738 170419107 227225476 340838214 454450952 511257321 681676428 908901904 1022514642 1363352856 1817803808 2045029284 2726705712 3635607616 4090058568 5453411424 7271215232 8180117136 10906822848 14542430464 16360234272 21813645696 32720468544 43627291392 65440937088 130881874176