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5536149552 = 2433174347373
BaseRepresentation
bin1010010011111101…
…01111000000110000
3112021211020112111000
411021332233000300
542314223241202
62313202522000
7254122331463
oct51176570060
915254215430
105536149552
11239101510a
1210a6066300
136a2c5ca4b
143a73872da
1522606091c
hex149faf030

5536149552 has 320 divisors, whose sum is σ = 17630300160. Its totient is φ = 1655894016.

The previous prime is 5536149547. The next prime is 5536149557. The reversal of 5536149552 is 2559416355.

5536149552 is a `hidden beast` number, since 5 + 53 + 6 + 1 + 49 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (5536149547) and next prime (5536149557).

It is a junction number, because it is equal to n+sod(n) for n = 5536149498 and 5536149507.

It is not an unprimeable number, because it can be changed into a prime (5536149557) 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, 14842038 + ... + 14842410.

It is an arithmetic number, because the mean of its divisors is an integer number (55094688).

Almost surely, 25536149552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536149552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815150080).

5536149552 is an abundant number, since it is smaller than the sum of its proper divisors (12094150608).

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

5536149552 is a wasteful number, since it uses less digits than its factorization.

5536149552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 5536149552 is about 74405.3059398320. The cubic root of 5536149552 is about 1769.0330138981.

The spelling of 5536149552 in words is "five billion, five hundred thirty-six million, one hundred forty-nine thousand, five hundred fifty-two".