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4673534976 = 21033113127
BaseRepresentation
bin1000101101001000…
…00111110000000000
3110001201002011202000
410112210013300000
534032411104401
62051430024000
7223546251255
oct42644076000
913051064660
104673534976
111a890a8000
12aa51a8000
13596325b16
1432499d42c
151c546b186
hex116907c00

4673534976 has 352 divisors, whose sum is σ = 15343656960. Its totient is φ = 1405071360.

The previous prime is 4673534959. The next prime is 4673534989. The reversal of 4673534976 is 6794353764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11430720) is a multiple of the sum of its prime factors (189).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 36799425 + ... + 36799551.

Almost surely, 24673534976 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 4673534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671828480).

4673534976 is an abundant number, since it is smaller than the sum of its proper divisors (10670121984).

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

4673534976 is a wasteful number, since it uses less digits than its factorization.

4673534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The square root of 4673534976 is about 68363.2574999173. The cubic root of 4673534976 is about 1671.9187402798.

The spelling of 4673534976 in words is "four billion, six hundred seventy-three million, five hundred thirty-four thousand, nine hundred seventy-six".