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135522641956 = 22132141592
BaseRepresentation
bin111111000110111000…
…1110110100000100100
3110221210210202112011111
41332031301312200210
54210022244020311
6142131440314404
712535243310212
oct1761561664044
9427723675144
10135522641956
1152524aa8839
1222322312a04
13ca1a0b5300
1467b8b37cb2
1537d2b06d21
hex1f8dc76824

135522641956 has 27 divisors (see below), whose sum is σ = 256829535921. Its totient is φ = 62544494064.

The previous prime is 135522641953. The next prime is 135522641981. The reversal of 135522641956 is 659146225531.

It is a happy number.

The square root of 135522641956 is 368134.

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

It can be written as a sum of positive squares in only one way, i.e., 20047728100 + 115474913856 = 141590^2 + 339816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135522641953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9564405 + ... + 9578563.

Almost surely, 2135522641956 is an apocalyptic number.

135522641956 is the 368134-th square number.

It is an amenable number.

135522641956 is a deficient number, since it is larger than the sum of its proper divisors (121306893965).

135522641956 is an frugal number, since it uses more digits than its factorization.

135522641956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28348 (or 14174 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 49.

Multiplying 135522641956 by its sum of digits (49), we get a square (6640609455844 = 25769382).

The spelling of 135522641956 in words is "one hundred thirty-five billion, five hundred twenty-two million, six hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 26 52 169 338 676 14159 28318 56636 184067 368134 736268 2392871 4785742 9571484 200477281 400954562 801909124 2606204653 5212409306 10424818612 33880660489 67761320978 135522641956