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69668103648 = 2531113171372179
BaseRepresentation
bin100000011100010001…
…0101110010111100000
320122211021211100200010
41000320202232113200
52120140013304043
652001033124520
75014304052543
oct1007042562740
9218737740603
1069668103648
1127600912470
1211603859740
13675375c690
14352c8dc85a
151c2b401133
hex10388ae5e0

69668103648 has 384 divisors, whose sum is σ = 229254520320. Its totient is φ = 18199019520.

The previous prime is 69668103641. The next prime is 69668103653. The reversal of 69668103648 is 84630186696.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69668103641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31971423 + ... + 31973601.

It is an arithmetic number, because the mean of its divisors is an integer number (597016980).

Almost surely, 269668103648 is an apocalyptic number.

69668103648 is a gapful number since it is divisible by the number (68) 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 69668103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114627260160).

69668103648 is an abundant number, since it is smaller than the sum of its proper divisors (159586416672).

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

69668103648 is a wasteful number, since it uses less digits than its factorization.

69668103648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 69668103648 in words is "sixty-nine billion, six hundred sixty-eight million, one hundred three thousand, six hundred forty-eight".