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690429541824 = 26341131715501
BaseRepresentation
bin10100000110000001100…
…11101011110111000000
32110000010012222202020000
422003000303223313000
542302444430314244
61245102353120000
7100611326163051
oct12030063536700
92400105882200
10690429541824
1124689a527830
12b1987559000
1350151765639
14255ba236728
1512e5dc96169
hexa0c0cebdc0

690429541824 has 560 divisors, whose sum is σ = 2337617221632. Its totient is φ = 199584000000.

The previous prime is 690429541807. The next prime is 690429541853. The reversal of 690429541824 is 428145924096.

690429541824 is a `hidden beast` number, since 6 + 90 + 4 + 2 + 9 + 541 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 125507074 + ... + 125512574.

Almost surely, 2690429541824 is an apocalyptic number.

690429541824 is a gapful number since it is divisible by the number (64) 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 690429541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168808610816).

690429541824 is an abundant number, since it is smaller than the sum of its proper divisors (1647187679808).

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

690429541824 is a wasteful number, since it uses less digits than its factorization.

690429541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 690429541824 in words is "six hundred ninety billion, four hundred twenty-nine million, five hundred forty-one thousand, eight hundred twenty-four".