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690750240042240 = 283257294789241293
BaseRepresentation
bin1001110100001110111101001…
…0101011111010110100000000
310100120202002002212222102120200
42131003233102223322310000
51211014222442422322430
610445034140214005200
7265332025611144030
oct23503572253726400
93316662085872520
10690750240042240
11190104593756064
1265580035946800
132385761166b121
14c2806c07cd8c0
1554cceeb5b0460
hex2743bd2afad00

690750240042240 has 3456 divisors, whose sum is σ = 2940175049011200. Its totient is φ = 146408095088640.

The previous prime is 690750240042227. The next prime is 690750240042251. The reversal of 690750240042240 is 42240042057096.

690750240042240 is a `hidden beast` number, since 69 + 0 + 7 + 502 + 4 + 0 + 0 + 42 + 2 + 40 = 666.

690750240042240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2357509351534 + ... + 2357509351826.

It is an arithmetic number, because the mean of its divisors is an integer number (850745095200).

Almost surely, 2690750240042240 is an apocalyptic number.

690750240042240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690750240042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470087524505600).

690750240042240 is an abundant number, since it is smaller than the sum of its proper divisors (2249424808968960).

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

690750240042240 is a wasteful number, since it uses less digits than its factorization.

690750240042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 690750240042240 in words is "six hundred ninety trillion, seven hundred fifty billion, two hundred forty million, forty-two thousand, two hundred forty".