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87269440644 = 223218041134369
BaseRepresentation
bin101000101000110101…
…0011111110010000100
322100020221211220212100
41101101222133302010
52412211434100034
6104031354552100
76206422002051
oct1212152376204
9270227756770
1087269440644
1134013362471
1214ab6438630
1382ca1c9099
14431c3d2028
15240b7ac099
hex1451a9fc84

87269440644 has 36 divisors (see below), whose sum is σ = 220611622140. Its totient is φ = 29087984640.

The previous prime is 87269440637. The next prime is 87269440673. The reversal of 87269440644 is 44604496278.

87269440644 is a `hidden beast` number, since 87 + 2 + 69 + 440 + 64 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20246444100 + 67022996544 = 142290^2 + 258888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 582292 + ... + 716660.

It is an arithmetic number, because the mean of its divisors is an integer number (6128100615).

Almost surely, 287269440644 is an apocalyptic number.

It is an amenable number.

87269440644 is an abundant number, since it is smaller than the sum of its proper divisors (133342181496).

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

87269440644 is a wasteful number, since it uses less digits than its factorization.

87269440644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152420 (or 152415 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 87269440644 in words is "eighty-seven billion, two hundred sixty-nine million, four hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 18041 36082 54123 72164 108246 134369 162369 216492 268738 324738 403107 537476 649476 806214 1209321 1612428 2418642 4837284 2424151129 4848302258 7272453387 9696604516 14544906774 21817360161 29089813548 43634720322 87269440644