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60427917396 = 223272112893181
BaseRepresentation
bin111000010001110010…
…001101100001010100
312202222022210021001200
4320101302031201110
51442224021324041
643432111552500
74236313552200
oct702162154124
9182868707050
1060427917396
1123699a90800
12b86522b730
1359102c4852
142cd3643b00
15188a0cd1b6
hexe11c8d854

60427917396 has 324 divisors, whose sum is σ = 197565256980. Its totient is φ = 15514329600.

The previous prime is 60427917391. The next prime is 60427917401. The reversal of 60427917396 is 69371972406.

It is a happy number.

60427917396 is a `hidden beast` number, since 60 + 427 + 9 + 1 + 73 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (60427917391) and next prime (60427917401).

It can be written as a sum of positive squares in 2 ways, for example, as 7705328400 + 52722588996 = 87780^2 + 229614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60427917391) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18994926 + ... + 18998106.

Almost surely, 260427917396 is an apocalyptic number.

60427917396 is a gapful number since it is divisible by the number (66) 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 60427917396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98782628490).

60427917396 is an abundant number, since it is smaller than the sum of its proper divisors (137137339584).

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

60427917396 is a wasteful number, since it uses less digits than its factorization.

60427917396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 60427917396 in words is "sixty billion, four hundred twenty-seven million, nine hundred seventeen thousand, three hundred ninety-six".