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4746014672 = 2472310311787
BaseRepresentation
bin1000110101110001…
…00110111111010000
3110020202110112012012
410122320212333100
534204434432142
62102535322052
7225416313320
oct43270467720
913222415165
104746014672
112016002083
12b05520328
135a8352209
14330469280
151cb9d6882
hex11ae26fd0

4746014672 has 80 divisors (see below), whose sum is σ = 10982725632. Its totient is φ = 1942596480.

The previous prime is 4746014641. The next prime is 4746014683. The reversal of 4746014672 is 2764106474.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2654963 + ... + 2656749.

Almost surely, 24746014672 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 4746014672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491362816).

4746014672 is an abundant number, since it is smaller than the sum of its proper divisors (6236710960).

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

4746014672 is a wasteful number, since it uses less digits than its factorization.

4746014672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 4746014672 is about 68891.3250852384. The cubic root of 4746014672 is about 1680.5174464283.

The spelling of 4746014672 in words is "four billion, seven hundred forty-six million, fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1031 1288 1787 2062 2576 3574 4124 7148 7217 8248 12509 14296 14434 16496 23713 25018 28592 28868 41101 47426 50036 57736 82202 94852 100072 115472 164404 165991 189704 200144 287707 328808 331982 379408 575414 657616 663964 1150828 1327928 1842397 2301656 2655856 3684794 4603312 7369588 12896779 14739176 25793558 29478352 42375131 51587116 84750262 103174232 169500524 206348464 296625917 339001048 593251834 678002096 1186503668 2373007336 4746014672