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5006072320 = 2955233739
BaseRepresentation
bin1001010100110001…
…01001101000000000
3110220212210211012221
410222120221220000
540223023303240
62144425300424
7235024625014
oct45230515000
913825724187
105006072320
112139885257
12b78634714
1361a1a6792
14356c02544
151e4755a4a
hex12a629a00

5006072320 has 80 divisors (see below), whose sum is σ = 12029006880. Its totient is φ = 1998065664.

The previous prime is 5006072317. The next prime is 5006072333. The reversal of 5006072320 is 232706005.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337011 + ... + 1340749.

It is an arithmetic number, because the mean of its divisors is an integer number (150362586).

Almost surely, 25006072320 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 5006072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014503440).

5006072320 is an abundant number, since it is smaller than the sum of its proper divisors (7022934560).

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

5006072320 is an equidigital number, since it uses as much as digits as its factorization.

5006072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5006072320 is about 70753.6028764614. The cubic root of 5006072320 is about 1710.6679013769.

Adding to 5006072320 its reverse (232706005), we get a palindrome (5238778325).

The spelling of 5006072320 in words is "five billion, six million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 523 640 1046 1280 2092 2560 2615 3739 4184 5230 7478 8368 10460 14956 16736 18695 20920 29912 33472 37390 41840 59824 66944 74780 83680 119648 133888 149560 167360 239296 267776 299120 334720 478592 598240 669440 957184 1196480 1338880 1914368 1955497 2392960 3910994 4785920 7821988 9571840 9777485 15643976 19554970 31287952 39109940 62575904 78219880 125151808 156439760 250303616 312879520 500607232 625759040 1001214464 1251518080 2503036160 5006072320