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4672402128 = 2432171908661
BaseRepresentation
bin1000101100111111…
…10011001011010000
3110001121221121202200
410112133303023100
534032113332003
62051345443200
7223533522432
oct42637631320
913047847680
104672402128
111a884a3969
12aa4940500
1359601a2b4
14324786652
151c52e56a3
hex1167f32d0

4672402128 has 60 divisors (see below), whose sum is σ = 13845434148. Its totient is φ = 1465850880.

The previous prime is 4672402123. The next prime is 4672402129. The reversal of 4672402128 is 8212042764.

It can be written as a sum of positive squares in 2 ways, for example, as 2398256784 + 2274145344 = 48972^2 + 47688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4672402092 and 4672402101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672402123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 951883 + ... + 956778.

Almost surely, 24672402128 is an apocalyptic number.

4672402128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4672402128 is an abundant number, since it is smaller than the sum of its proper divisors (9173032020).

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

4672402128 is a wasteful number, since it uses less digits than its factorization.

4672402128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908692 (or 1908683 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4672402128 is about 68354.9714943983. The cubic root of 4672402128 is about 1671.7836403418.

The spelling of 4672402128 in words is "four billion, six hundred seventy-two million, four hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 1908661 3817322 5725983 7634644 11451966 15269288 17177949 22903932 30538576 32447237 34355898 45807864 64894474 68711796 91615728 97341711 129788948 137423592 194683422 259577896 274847184 292025133 389366844 519155792 584050266 778733688 1168100532 1557467376 2336201064 4672402128