Search a number
-
+
676414762272 = 2532484632
BaseRepresentation
bin10011101011111010111…
…01100010110100100000
32101122221111201011220200
421311331131202310200
542040244134343042
61234423551505200
766604121420334
oct11657535426440
92348844634820
10676414762272
11240958554497
12ab115b28200
134ba2a080582
1424a4abd37c4
15128dd6e3c4c
hex9d7d762d20

676414762272 has 54 divisors (see below), whose sum is σ = 1923594172227. Its totient is φ = 225466934976.

The previous prime is 676414762253. The next prime is 676414762313. The reversal of 676414762272 is 272267414676.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

676414762272 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 1 + 4 + 7 + 622 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338207381136 + 338207381136 = 581556^2 + 581556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=581556.

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, 13933113 + ... + 13981575.

Almost surely, 2676414762272 is an apocalyptic number.

It is an amenable number.

676414762272 is an abundant number, since it is smaller than the sum of its proper divisors (1247179409955).

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

676414762272 is an frugal number, since it uses more digits than its factorization.

676414762272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96942 (or 48468 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 676414762272 in words is "six hundred seventy-six billion, four hundred fourteen million, seven hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48463 96926 145389 193852 290778 387704 436167 581556 775408 872334 1163112 1550816 1744668 2326224 3489336 4652448 6978672 13957344 2348662369 4697324738 7045987107 9394649476 14091974214 18789298952 21137961321 28183948428 37578597904 42275922642 56367896856 75157195808 84551845284 112735793712 169103690568 225471587424 338207381136 676414762272