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5575105536 = 210373111337
BaseRepresentation
bin1010011000100110…
…10101110000000000
3112101112112201001020
411030103111300000
542404211334121
62321113505440
7255104421000
oct51423256000
915345481036
105575105536
112401002340
1210b7112280
136ab04c320
143ac608000
152296a81c6
hex14c4d5c00

5575105536 has 704 divisors, whose sum is σ = 20908876800. Its totient is φ = 1300561920.

The previous prime is 5575105519. The next prime is 5575105559. The reversal of 5575105536 is 6355015755.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150678510 + ... + 150678546.

Almost surely, 25575105536 is an apocalyptic number.

5575105536 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 5575105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454438400).

5575105536 is an abundant number, since it is smaller than the sum of its proper divisors (15333771264).

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

5575105536 is a wasteful number, since it uses less digits than its factorization.

5575105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 393750, while the sum is 42.

The square root of 5575105536 is about 74666.6293333240. The cubic root of 5575105536 is about 1773.1726785823.

It can be divided in two parts, 5575 and 105536, that added together give a palindrome (111111).

The spelling of 5575105536 in words is "five billion, five hundred seventy-five million, one hundred five thousand, five hundred thirty-six".