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4633952973 = 3131735919469
BaseRepresentation
bin1000101000011010…
…01000001011001101
3102221221121012102220
410110031020023031
533442242443343
62043453405553
7222555643656
oct42415101315
912857535386
104633952973
111a68822501
12a93a998b9
1358b077610
1431d61852d
151c1c4d183
hex1143482cd

4633952973 has 32 divisors (see below), whose sum is σ = 7065273600. Its totient is φ = 2676304896.

The previous prime is 4633952969. The next prime is 4633952977. The reversal of 4633952973 is 3792593364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4633952969) and next prime (4633952977).

It is not a de Polignac number, because 4633952973 - 22 = 4633952969 is a prime.

It is a super-4 number, since 4×46339529734 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633952977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228283 + ... + 247751.

It is an arithmetic number, because the mean of its divisors is an integer number (220789800).

Almost surely, 24633952973 is an apocalyptic number.

It is an amenable number.

4633952973 is a deficient number, since it is larger than the sum of its proper divisors (2431320627).

4633952973 is a wasteful number, since it uses less digits than its factorization.

4633952973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861.

The product of its digits is 3674160, while the sum is 51.

The square root of 4633952973 is about 68073.1442861280. The cubic root of 4633952973 is about 1667.1853064620.

The spelling of 4633952973 in words is "four billion, six hundred thirty-three million, nine hundred fifty-two thousand, nine hundred seventy-three".

Divisors: 1 3 13 17 39 51 221 359 663 1077 4667 6103 14001 18309 19469 58407 79339 238017 253097 330973 759291 992919 4302649 6989371 12907947 20968113 90861823 118819307 272585469 356457921 1544650991 4633952973