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705245638945 = 5174124935757
BaseRepresentation
bin10100100001100111110…
…10100111000100100001
32111102100210002110120211
422100303322213010201
543023320340421240
61255552501334121
7101644434010351
oct12206372470441
92442323073524
10705245638945
112521028608a1
12b4821407341
1351673172203
14261c3c68b61
1513529880bea
hexa433ea7121

705245638945 has 24 divisors (see below), whose sum is σ = 918465591672. Its totient is φ = 518056949760.

The previous prime is 705245638943. The next prime is 705245638957. The reversal of 705245638945 is 549836542507.

It can be written as a sum of positive squares in 12 ways, for example, as 169046789409 + 536198849536 = 411153^2 + 732256^2 .

It is not a de Polignac number, because 705245638945 - 21 = 705245638943 is a prime.

It is a super-2 number, since 2×7052456389452 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 705245638945.

It is not an unprimeable number, because it can be changed into a prime (705245638943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2324994 + ... + 2610763.

It is an arithmetic number, because the mean of its divisors is an integer number (38269399653).

Almost surely, 2705245638945 is an apocalyptic number.

It is an amenable number.

705245638945 is a deficient number, since it is larger than the sum of its proper divisors (213219952727).

705245638945 is a wasteful number, since it uses less digits than its factorization.

705245638945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935861 (or 4935820 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 705245638945 in words is "seven hundred five billion, two hundred forty-five million, six hundred thirty-eight thousand, nine hundred forty-five".

Divisors: 1 5 17 41 85 205 697 1681 3485 8405 28577 142885 4935757 24678785 83907869 202366037 419539345 1011830185 3440222629 8297007517 17201113145 41485037585 141049127789 705245638945