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4674164256 = 253283195539
BaseRepresentation
bin1000101101001101…
…00001011000100000
3110001202021010221200
410112212201120200
534033041224011
62051451321200
7223554512016
oct42646413040
913052233850
104674164256
111a89497873
12aa5450200
135964b6388
14324ac48b6
151c5542856
hex1169a1620

4674164256 has 72 divisors (see below), whose sum is σ = 13452369840. Its totient is φ = 1539275136.

The previous prime is 4674164251. The next prime is 4674164267. The reversal of 4674164256 is 6524614764.

4674164256 is a `hidden beast` number, since 467 + 4 + 164 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×46741642562 = 43695622984136067072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4674164251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73866 + ... + 121673.

It is an arithmetic number, because the mean of its divisors is an integer number (186838470).

Almost surely, 24674164256 is an apocalyptic number.

It is an amenable number.

4674164256 is an abundant number, since it is smaller than the sum of its proper divisors (8778205584).

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

4674164256 is a wasteful number, since it uses less digits than its factorization.

4674164256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195638 (or 195627 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4674164256 is about 68367.8598173147. The cubic root of 4674164256 is about 1671.9937768287.

The spelling of 4674164256 in words is "four billion, six hundred seventy-four million, one hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 195539 391078 586617 782156 1173234 1564312 1759851 2346468 3128624 3519702 4692936 6257248 7039404 9385872 14078808 16229737 18771744 28157616 32459474 48689211 56315232 64918948 97378422 129837896 146067633 194756844 259675792 292135266 389513688 519351584 584270532 779027376 1168541064 1558054752 2337082128 4674164256