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136467348341776 = 241721717932
BaseRepresentation
bin11111000001110111000111…
…110100100100010000010000
3122220012011002010220110021121
4133001313013310210100100
5120341340112133414101
61202124122341532024
740513304052450424
oct3701670764442020
9586164063813247
10136467348341776
113a534528495a71
1213380352a14014
135b1ba7b20b90a
14259b0aa918b84
1510b9c678540a1
hex7c1dc7d24410

136467348341776 has 45 divisors (see below), whose sum is σ = 280875284221431. Its totient is φ = 64219554809856.

The previous prime is 136467348341761. The next prime is 136467348341869. The reversal of 136467348341776 is 677143843764631.

The square root of 136467348341776 is 11681924.

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

136467348341776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60247464181776 + 76219884160000 = 7761924^2 + 8730400^2 .

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, 794284936 + ... + 794456728.

Almost surely, 2136467348341776 is an apocalyptic number.

136467348341776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136467348341776 is the 11681924-th square number.

It is an amenable number.

136467348341776 is an abundant number, since it is smaller than the sum of its proper divisors (144407935879655).

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

136467348341776 is an frugal number, since it uses more digits than its factorization.

136467348341776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343628 (or 171812 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 70.

The spelling of 136467348341776 in words is "one hundred thirty-six trillion, four hundred sixty-seven billion, three hundred forty-eight million, three hundred forty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 171793 343586 687172 1374344 2748688 2920481 5840962 11681924 23363848 46727696 49648177 99296354 198592708 397185416 794370832 29512834849 59025669698 118051339396 236102678792 472205357584 501718192433 1003436384866 2006872769732 4013745539464 8027491078928 8529209271361 17058418542722 34116837085444 68233674170888 136467348341776