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215531776516 = 2272331612
BaseRepresentation
bin1100100010111010110…
…0011110101000000100
3202121022210001200102111
43020232230132220010
512012402113322031
6243003001550404
721400035605200
oct3105654365004
9677283050374
10215531776516
1183452083841
12359311a5404
131742b097a94
14a608badb00
155916ccc1b1
hex322eb1ea04

215531776516 has 27 divisors (see below), whose sum is σ = 438774348117. Its totient is φ = 92367975840.

The previous prime is 215531776489. The next prime is 215531776519. The reversal of 215531776516 is 615677135512.

The square root of 215531776516 is 464254.

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

215531776516 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 only one way, i.e., 205257926916 + 10273849600 = 453054^2 + 101360^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 215531776516.

It is not an unprimeable number, because it can be changed into a prime (215531776519) by changing a digit.

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, 6482976 + ... + 6516136.

Almost surely, 2215531776516 is an apocalyptic number.

215531776516 is the 464254-th square number.

It is an amenable number.

215531776516 is an abundant number, since it is smaller than the sum of its proper divisors (223242571601).

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

215531776516 is an frugal number, since it uses more digits than its factorization.

215531776516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66340 (or 33170 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 49.

Multiplying 215531776516 by its sum of digits (49), we get a square (10561057049284 = 32497782).

215531776516 divided by its sum of digits (49) gives a square (4398607684 = 663222).

The spelling of 215531776516 in words is "two hundred fifteen billion, five hundred thirty-one million, seven hundred seventy-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 33161 66322 132644 232127 464254 928508 1624889 3249778 6499556 1099651921 2199303842 4398607684 7697563447 15395126894 30790253788 53882944129 107765888258 215531776516