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4893394464 = 25337809093
BaseRepresentation
bin1001000111010101…
…10100011000100000
3110122000210012021000
410203222310120200
540010202110324
62125322232000
7232156111110
oct44352643040
913560705230
104893394464
112091214762
12b46955600
135cca445aa
14345c71040
151d98e99c9
hex123ab4620

4893394464 has 96 divisors (see below), whose sum is σ = 16311335040. Its totient is φ = 1398110976.

The previous prime is 4893394459. The next prime is 4893394523. The reversal of 4893394464 is 4644933984.

4893394464 is a `hidden beast` number, since 4 + 8 + 93 + 3 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4893394464.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 398499 + ... + 410594.

It is an arithmetic number, because the mean of its divisors is an integer number (169909740).

Almost surely, 24893394464 is an apocalyptic number.

It is an amenable number.

4893394464 is an abundant number, since it is smaller than the sum of its proper divisors (11417940576).

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

4893394464 is a wasteful number, since it uses less digits than its factorization.

4893394464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809119 (or 809105 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 4893394464 is about 69952.8016879953. The cubic root of 4893394464 is about 1697.7356778686.

The spelling of 4893394464 in words is "four billion, eight hundred ninety-three million, three hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 809093 1618186 2427279 3236372 4854558 5663651 6472744 7281837 9709116 11327302 12945488 14563674 16990953 19418232 21845511 22654604 25890976 29127348 33981906 38836464 43691022 45309208 50972859 58254696 67963812 77672928 87382044 90618416 101945718 116509392 135927624 152918577 174764088 181236832 203891436 233018784 271855248 305837154 349528176 407782872 543710496 611674308 699056352 815565744 1223348616 1631131488 2446697232 4893394464