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64239437025 = 32526122772
BaseRepresentation
bin111011110100111110…
…000000010011100001
320010210221211112001100
4323310332000103201
52023030243441100
645302230025013
74432625130261
oct736476002341
9203727745040
1064239437025
112527553a925
12105497a8169
136099b633ca
1431759337a1
151a0ea22400
hexef4f804e1

64239437025 has 81 divisors (see below), whose sum is σ = 117400944843. Its totient is φ = 33577718400.

The previous prime is 64239436979. The next prime is 64239437047. The reversal of 64239437025 is 52073493246.

The square root of 64239437025 is 253455.

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

64239437025 is digitally balanced in base 2, 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 13 ways, for example, as 57964896081 + 6274540944 = 240759^2 + 79212^2 .

It is not a de Polignac number, because 64239437025 - 211 = 64239434977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 231911187 + ... + 231911463.

Almost surely, 264239437025 is an apocalyptic number.

64239437025 is the 253455-th square number.

64239437025 is the 126728-th centered octagonal number.

It is an amenable number.

64239437025 is a deficient number, since it is larger than the sum of its proper divisors (53161507818).

64239437025 is an equidigital number, since it uses as much as digits as its factorization.

64239437025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

It can be divided in two parts, 64239 and 437025, that added together give a square (501264 = 7082).

The spelling of 64239437025 in words is "sixty-four billion, two hundred thirty-nine million, four hundred thirty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 277 305 549 831 915 1385 1525 2493 2745 3721 4155 4575 6925 11163 12465 13725 16897 18605 20775 33489 50691 55815 62325 76729 84485 93025 152073 167445 230187 253455 279075 383645 422425 690561 760365 837225 1030717 1150935 1267275 1918225 3092151 3452805 3801825 4680469 5153585 5754675 9276453 14041407 15460755 17264025 23402345 25767925 42124221 46382265 70207035 77303775 117011725 210621105 231911325 285508609 351035175 856525827 1053105525 1427543045 2569577481 4282629135 7137715225 12847887405 21413145675 64239437025