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131890892109376 = 26331243372
BaseRepresentation
bin11101111111010000111101…
…110001011111011001000000
3122021222122110001010000100211
4131333100331301133121000
5114241400021340000001
61144301501150123504
736531542154352201
oct3577207561373100
9567878401100324
10131890892109376
113902a682230984
1212961408ab0594
1358793473b261a
14247d7a612d5a8
15103abb894c351
hex77f43dc5f640

131890892109376 has 63 divisors (see below), whose sum is σ = 262574618607777. Its totient is φ = 65731055723520.

The previous prime is 131890892109371. The next prime is 131890892109391. The reversal of 131890892109376 is 673901298098131.

The square root of 131890892109376 is 11484376.

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

It can be written as a sum of positive squares in only one way, i.e., 1516148942400 + 130374743166976 = 1231320^2 + 11418176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131890892109371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30410625480 + ... + 30410629816.

Almost surely, 2131890892109376 is an apocalyptic number.

131890892109376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131890892109376 is the 11484376-th square number.

It is an amenable number.

131890892109376 is a deficient number, since it is larger than the sum of its proper divisors (130683726498401).

131890892109376 is an frugal number, since it uses more digits than its factorization.

131890892109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 67.

The spelling of 131890892109376 in words is "one hundred thirty-one trillion, eight hundred ninety billion, eight hundred ninety-two million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 331 662 1324 2648 4337 5296 8674 10592 17348 21184 34696 69392 109561 138784 219122 277568 438244 876488 1435547 1752976 2871094 3505952 5742188 7011904 11484376 18809569 22968752 37619138 45937504 75238276 91875008 150476552 300953104 475166057 601906208 950332114 1203812416 1900664228 3801328456 6225967339 7602656912 12451934678 15205313824 24903869356 30410627648 49807738712 99615477424 199230954848 398461909696 2060795189209 4121590378418 8243180756836 16486361513672 32972723027344 65945446054688 131890892109376