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5464189674 = 2321737487991
BaseRepresentation
bin1010001011011000…
…01110101011101010
3112002210211121002100
411011230032223222
542142313032144
62302112314230
7252256563066
oct50554165352
915083747070
105464189674
112354435639
121085b42976
13691086138
1439b9b4aa6
1521ea99269
hex145b0eaea

5464189674 has 96 divisors (see below), whose sum is σ = 12913744896. Its totient is φ = 1662819840.

The previous prime is 5464189609. The next prime is 5464189681. The reversal of 5464189674 is 4769814645.

5464189674 is a `hidden beast` number, since 546 + 4 + 1 + 8 + 96 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5464189674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5513319 + ... + 5514309.

It is an arithmetic number, because the mean of its divisors is an integer number (134518176).

Almost surely, 25464189674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464189674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456872448).

5464189674 is an abundant number, since it is smaller than the sum of its proper divisors (7449555222).

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

5464189674 is a wasteful number, since it uses less digits than its factorization.

5464189674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1537 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5464189674 is about 73920.1574267804. The cubic root of 5464189674 is about 1761.3348252343.

The spelling of 5464189674 in words is "five billion, four hundred sixty-four million, one hundred eighty-nine thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 487 629 666 974 991 1258 1461 1887 1982 2922 2973 3774 4383 5661 5946 8279 8766 8919 11322 16558 16847 17838 18019 24837 33694 36038 36667 49674 50541 54057 73334 74511 101082 108114 110001 149022 151623 162171 220002 303246 306323 324342 330003 482617 612646 623339 660006 918969 965234 1246678 1447851 1837938 1870017 2756907 2895702 3740034 4343553 5513814 5610051 8204489 8687106 11220102 16408978 17856829 24613467 35713658 49226934 53570487 73840401 107140974 147680802 160711461 303566093 321422922 607132186 910698279 1821396558 2732094837 5464189674