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4709319680 = 21051370753
BaseRepresentation
bin1000110001011001…
…01000010000000000
3110011012102020010102
410120230220100000
534121041212210
62055145021532
7224462361662
oct43054502000
913135366112
104709319680
111aa731963a
12ab51848a8
135a0874ac0
14329636532
151c8688ea5
hex118b28400

4709319680 has 88 divisors (see below), whose sum is σ = 12166008792. Its totient is φ = 1738801152.

The previous prime is 4709319679. The next prime is 4709319683. The reversal of 4709319680 is 869139074.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 4707057664 = 1504^2 + 68608^2 .

It is not an unprimeable number, because it can be changed into a prime (4709319683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31184 + ... + 101936.

Almost surely, 24709319680 is an apocalyptic number.

4709319680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4709319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083004396).

4709319680 is an abundant number, since it is smaller than the sum of its proper divisors (7456689112).

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

4709319680 is a wasteful number, since it uses less digits than its factorization.

4709319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70791 (or 70773 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 4709319680 is about 68624.4830945924. The cubic root of 4709319680 is about 1676.1751231048.

The spelling of 4709319680 in words is "four billion, seven hundred nine million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2560 3328 4160 5120 6656 8320 13312 16640 33280 66560 70753 141506 283012 353765 566024 707530 919789 1132048 1415060 1839578 2264096 2830120 3679156 4528192 4598945 5660240 7358312 9056384 9197890 11320480 14716624 18112768 18395780 22640960 29433248 36225536 36791560 45281920 58866496 72451072 73583120 90563840 117732992 147166240 181127680 235465984 294332480 362255360 470931968 588664960 941863936 1177329920 2354659840 4709319680