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5077101267342 = 232131710331739089
BaseRepresentation
bin100100111100001101011…
…0100010100100110001110
3122222100212220202022202100
41021320122310110212032
51131140400411023332
614444215500135530
71032544205502126
oct111703264244616
918870786668670
105077101267342
11168820633a915
1269bb86b375a6
132aa9cb7b0150
14137a39559c86
158c1014a167c
hex49e1ad1498e

5077101267342 has 192 divisors, whose sum is σ = 12705485869440. Its totient is φ = 1451386847232.

The previous prime is 5077101267341. The next prime is 5077101267367. The reversal of 5077101267342 is 2437621017705.

5077101267342 is a `hidden beast` number, since 507 + 7 + 10 + 1 + 26 + 73 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077101267341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129866134 + ... + 129905222.

It is an arithmetic number, because the mean of its divisors is an integer number (66174405570).

Almost surely, 25077101267342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077101267342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352742934720).

5077101267342 is an abundant number, since it is smaller than the sum of its proper divisors (7628384602098).

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

5077101267342 is a wasteful number, since it uses less digits than its factorization.

5077101267342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39547 (or 39544 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 5077101267342 in words is "five trillion, seventy-seven billion, one hundred one million, two hundred sixty-seven thousand, three hundred forty-two".