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5675583816 = 23357569733
BaseRepresentation
bin1010100100100101…
…01000100101001000
3112122112121112100000
411102102220211020
543110422140231
62335103243000
7260434444410
oct52222504510
915575545300
105675583816
1124527a0141
1211248a9460
136c5acc726
143bbac1640
152334046e6
hex1524a8948

5675583816 has 192 divisors, whose sum is σ = 18274838400. Its totient is φ = 1616537088.

The previous prime is 5675583791. The next prime is 5675583817. The reversal of 5675583816 is 6183855765.

5675583816 is a `hidden beast` number, since 5 + 6 + 7 + 558 + 3 + 81 + 6 = 666.

It is a super-2 number, since 2×56755838162 = 64424503304882243712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5675583817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7742586 + ... + 7743318.

It is an arithmetic number, because the mean of its divisors is an integer number (95181450).

Almost surely, 25675583816 is an apocalyptic number.

5675583816 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 5675583816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137419200).

5675583816 is an abundant number, since it is smaller than the sum of its proper divisors (12599254584).

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

5675583816 is a wasteful number, since it uses less digits than its factorization.

5675583816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 5675583816 is about 75336.4706898326. The cubic root of 5675583816 is about 1783.7617512146.

The spelling of 5675583816 in words is "five billion, six hundred seventy-five million, five hundred eighty-three thousand, eight hundred sixteen".