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690778032640 = 29517192928807
BaseRepresentation
bin10100000110101011001…
…01000100101000000000
32110001000111201220202021
422003111211010220000
542304203134021030
61245201122331224
7100623060253213
oct12032545045000
92401014656667
10690778032640
11246a59211073
12b1a641b9b14
13501a8a10917
142561062d77a
1512e7e68297a
hexa0d5944a00

690778032640 has 320 divisors, whose sum is σ = 1909693843200. Its totient is φ = 237866582016.

The previous prime is 690778032629. The next prime is 690778032641. The reversal of 690778032640 is 46230877096.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (690778032641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23965117 + ... + 23993923.

It is an arithmetic number, because the mean of its divisors is an integer number (5967793260).

Almost surely, 2690778032640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690778032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954846921600).

690778032640 is an abundant number, since it is smaller than the sum of its proper divisors (1218915810560).

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

690778032640 is a wasteful number, since it uses less digits than its factorization.

690778032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28895 (or 28879 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 690778032640 in words is "six hundred ninety billion, seven hundred seventy-eight million, thirty-two thousand, six hundred forty".