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5252588139456 = 2632712750320393
BaseRepresentation
bin100110001101111011010…
…1001100111001111000000
3200121010211220021002102100
41030123312221213033000
51142024300030430311
615101001120550400
71051326013344030
oct114336651471700
920533756232370
105252588139456
111745679085239
12709ba1182400
132c1417402708
14142325bcd8c0
1591972876a56
hex4c6f6a673c0

5252588139456 has 336 divisors, whose sum is σ = 17377207271424. Its totient is φ = 1485889671168.

The previous prime is 5252588139439. The next prime is 5252588139473. The reversal of 5252588139456 is 6549318852525.

It is a happy number.

5252588139456 is a `hidden beast` number, since 5 + 2 + 5 + 2 + 588 + 1 + 3 + 9 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5252588139439) and next prime (5252588139473).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5252588139393 and 5252588139402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257557996 + ... + 257578388.

It is an arithmetic number, because the mean of its divisors is an integer number (51717878784).

Almost surely, 25252588139456 is an apocalyptic number.

5252588139456 is a gapful number since it is divisible by the number (56) 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 5252588139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688603635712).

5252588139456 is an abundant number, since it is smaller than the sum of its proper divisors (12124619131968).

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

5252588139456 is a wasteful number, since it uses less digits than its factorization.

5252588139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21048 (or 21035 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 5252588139456 in words is "five trillion, two hundred fifty-two billion, five hundred eighty-eight million, one hundred thirty-nine thousand, four hundred fifty-six".