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4755037672 = 2371123122637
BaseRepresentation
bin1000110110110110…
…00001110111101000
3110021101102221102101
410123123001313220
534214242201142
62103500543144
7225556103410
oct43333016750
913241387371
104755037672
112020105200
12b08551ab4
135aa191178
14331737640
151cc6ba0b7
hex11b6c1de8

4755037672 has 96 divisors (see below), whose sum is σ = 11561679360. Its totient is φ = 1792771200.

The previous prime is 4755037663. The next prime is 4755037699. The reversal of 4755037672 is 2767305574.

It is a happy number.

It is a super-2 number, since 2×47550376722 = 45220766524278359168, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 198738 + ... + 221374.

It is an arithmetic number, because the mean of its divisors is an integer number (120434160).

Almost surely, 24755037672 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 4755037672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780839680).

4755037672 is an abundant number, since it is smaller than the sum of its proper divisors (6806641688).

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

4755037672 is a wasteful number, since it uses less digits than its factorization.

4755037672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22703 (or 22688 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The square root of 4755037672 is about 68956.7811893798. The cubic root of 4755037672 is about 1681.5817576269.

The spelling of 4755037672 in words is "four billion, seven hundred fifty-five million, thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 154 217 242 248 308 341 434 484 616 682 847 868 968 1364 1694 1736 2387 2728 3388 3751 4774 6776 7502 9548 15004 19096 22637 26257 30008 45274 52514 90548 105028 158459 181096 210056 249007 316918 498014 633836 701747 996028 1267672 1403494 1743049 1992056 2739077 2806988 3486098 4912229 5478154 5613976 6972196 7719217 9824458 10956308 13944392 15438434 19173539 19648916 21912616 30876868 38347078 39297832 54034519 61753736 76694156 84911387 108069038 153388312 169822774 216138076 339645548 432276152 594379709 679291096 1188759418 2377518836 4755037672