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4690312128 = 26351911579
BaseRepresentation
bin1000101111001000…
…00111101111000000
3110002212122112200000
410113210013233000
534101204442003
62053225400000
7224141665245
oct42744075700
913085575600
104690312128
111a97616a17
12aaa939000
1359994b328
14326cc95cc
151c6b821a3
hex117907bc0

4690312128 has 168 divisors, whose sum is σ = 14023726080. Its totient is φ = 1554266880.

The previous prime is 4690312091. The next prime is 4690312147. The reversal of 4690312128 is 8212130964.

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 = 4690312092 and 4690312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2969643 + ... + 2971221.

It is an arithmetic number, because the mean of its divisors is an integer number (83474560).

Almost surely, 24690312128 is an apocalyptic number.

4690312128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4690312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011863040).

4690312128 is an abundant number, since it is smaller than the sum of its proper divisors (9333413952).

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

4690312128 is a wasteful number, since it uses less digits than its factorization.

4690312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4690312128 is about 68485.8534881475. The cubic root of 4690312128 is about 1673.9169805053.

The spelling of 4690312128 in words is "four billion, six hundred ninety million, three hundred twelve thousand, one hundred twenty-eight".