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690235286416 = 2413412292
BaseRepresentation
bin10100000101101010011…
…10101010001110010000
32102222121200110112220021
422002311032222032100
542302100213131131
61245031213353224
7100603450062544
oct12026516521620
92388550415807
10690235286416
112467aa908875
12b1932498814
1350120440000
142559c50ba24
1512e4bbc3e11
hexa0b53aa390

690235286416 has 75 divisors (see below), whose sum is σ = 1449950984741. Its totient is φ = 318310921344.

The previous prime is 690235286393. The next prime is 690235286443. The reversal of 690235286416 is 614682532096.

The square root of 690235286416 is 830804.

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

It can be written as a sum of positive squares in 7 ways, for example, as 420417372816 + 269817913600 = 648396^2 + 519440^2 .

It is a super-2 number, since 2×6902352864162 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 561622890 + ... + 561624118.

Almost surely, 2690235286416 is an apocalyptic number.

690235286416 is the 830804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690235286416

690235286416 is an abundant number, since it is smaller than the sum of its proper divisors (759715698325).

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

690235286416 is an frugal number, since it uses more digits than its factorization.

690235286416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 690235286416 in words is "six hundred ninety billion, two hundred thirty-five million, two hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1229 1352 2197 2458 2704 4394 4916 8788 9832 15977 17576 19664 28561 31954 35152 57122 63908 114244 127816 207701 228488 255632 415402 456976 830804 1510441 1661608 2700113 3020882 3323216 5400226 6041764 10800452 12083528 19635733 21600904 24167056 35101469 39271466 43201808 70202938 78542932 140405876 157085864 255264529 280811752 314171728 510529058 561623504 1021058116 2042116232 3318438877 4084232464 6636877754 13273755508 26547511016 43139705401 53095022032 86279410802 172558821604 345117643208 690235286416