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696408052680 = 23355674992143
BaseRepresentation
bin10100010001001010010…
…01111001001111001000
32110120112212121120100000
422020211021321033020
542402220430141210
61251531521243000
7101212432530624
oct12104511711710
92416485546300
10696408052680
1124938821049a
12b2b75793460
1350895249222
14259c6250184
15131ada86ac0
hexa2252793c8

696408052680 has 384 divisors, whose sum is σ = 2388072960000. Its totient is φ = 182485239552.

The previous prime is 696408052661. The next prime is 696408052699. The reversal of 696408052680 is 86250804696.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (696408052661) and next prime (696408052699).

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

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 95 ways as a sum of consecutive naturals, for example, 324967689 + ... + 324969831.

It is an arithmetic number, because the mean of its divisors is an integer number (6218940000).

Almost surely, 2696408052680 is an apocalyptic number.

696408052680 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 696408052680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194036480000).

696408052680 is an abundant number, since it is smaller than the sum of its proper divisors (1691664907320).

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

696408052680 is a wasteful number, since it uses less digits than its factorization.

696408052680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2719 counting only the distinct ones).

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

The spelling of 696408052680 in words is "six hundred ninety-six billion, four hundred eight million, fifty-two thousand, six hundred eighty".