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215473284481 = 7213251012
BaseRepresentation
bin1100100010101100110…
…1010110010110000001
3202121011200222222102211
43020223031112112001
512012242130100411
6242553112142121
721365425461400
oct3105315262601
9677150888384
10215473284481
1183422062914
1235915697941
131741bc28300
14a601105637
155911ac6221
hex322b356581

215473284481 has 27 divisors (see below), whose sum is σ = 271469935593. Its totient is φ = 170450935200.

The previous prime is 215473284469. The next prime is 215473284493. The reversal of 215473284481 is 184482374512.

The square root of 215473284481 is 464191.

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

It is an interprime number because it is at equal distance from previous prime (215473284469) and next prime (215473284493).

It can be written as a sum of positive squares in 4 ways, for example, as 180510268225 + 34963016256 = 424865^2 + 186984^2 .

It is not a de Polignac number, because 215473284481 - 219 = 215472760193 is a prime.

It is a super-2 number, since 2×2154732844812 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215473284431) 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 26 ways as a sum of consecutive naturals, for example, 42238831 + ... + 42243931.

It is an arithmetic number, because the mean of its divisors is an integer number (10054442059).

Almost surely, 2215473284481 is an apocalyptic number.

215473284481 is the 464191-st square number.

215473284481 is the 232096-th centered octagonal number.

It is an amenable number.

215473284481 is a deficient number, since it is larger than the sum of its proper divisors (55996651112).

215473284481 is an frugal number, since it uses more digits than its factorization.

215473284481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 5121 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 49.

Multiplying 215473284481 by its sum of digits (49), we get a square (10558190939569 = 32493372).

215473284481 divided by its sum of digits (49) gives a square (4397413969 = 663132).

The spelling of 215473284481 in words is "two hundred fifteen billion, four hundred seventy-three million, two hundred eighty-four thousand, four hundred eighty-one".

Divisors: 1 7 13 49 91 169 637 1183 5101 8281 35707 66313 249949 464191 862069 3249337 6034483 26020201 42241381 182141407 338262613 1274989849 2367838291 4397413969 16574868037 30781897783 215473284481