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5675988672 = 263222344189
BaseRepresentation
bin1010100100101000…
…01011011011000000
3112122120101002200200
411102110023123000
543111023114142
62335120045200
7260441051634
oct52224133300
915576332620
105675988672
112452a47332
121124a63800
136c5c11aa3
143bbb88dc4
1523348464c
hex15250b6c0

5675988672 has 84 divisors (see below), whose sum is σ = 16342522560. Its totient is φ = 1883469312.

The previous prime is 5675988631. The next prime is 5675988673. The reversal of 5675988672 is 2768895765.

5675988672 is a `hidden beast` number, since 567 + 5 + 9 + 8 + 8 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5675988673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106354 + ... + 150542.

It is an arithmetic number, because the mean of its divisors is an integer number (194553840).

Almost surely, 25675988672 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 5675988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171261280).

5675988672 is an abundant number, since it is smaller than the sum of its proper divisors (10666533888).

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

5675988672 is a wasteful number, since it uses less digits than its factorization.

5675988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44430 (or 44417 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The square root of 5675988672 is about 75339.1576273587. The cubic root of 5675988672 is about 1783.8041638544.

The spelling of 5675988672 in words is "five billion, six hundred seventy-five million, nine hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 14272 16056 21408 32112 42816 44189 64224 88378 128448 132567 176756 265134 353512 397701 530268 707024 795402 1060536 1414048 1590804 2121072 2828096 3181608 4242144 6363216 8484288 9854147 12726432 19708294 25452864 29562441 39416588 59124882 78833176 88687323 118249764 157666352 177374646 236499528 315332704 354749292 472999056 630665408 709498584 945998112 1418997168 1891996224 2837994336 5675988672