Search a number
-
+
4380966912 = 21437217107
BaseRepresentation
bin1000001010010000…
…00100000000000000
3102022022120011210210
410011020010000000
532433011420122
62002415154120
7213364414200
oct40510040000
912268504723
104380966912
111948a3a313
12a23215940
1354a82aa1a
142d7ba2400
151a992940c
hex105204000

4380966912 has 360 divisors, whose sum is σ = 14523382944. Its totient is φ = 1167065088.

The previous prime is 4380966901. The next prime is 4380966923. The reversal of 4380966912 is 2196690834.

It is an interprime number because it is at equal distance from previous prime (4380966901) and next prime (4380966923).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40943563 + ... + 40943669.

Almost surely, 24380966912 is an apocalyptic number.

4380966912 is a gapful number since it is divisible by the number (42) 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 4380966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261691472).

4380966912 is an abundant number, since it is smaller than the sum of its proper divisors (10142416032).

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

4380966912 is a wasteful number, since it uses less digits than its factorization.

4380966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 4380966912 is about 66188.8730225859. The cubic root of 4380966912 is about 1636.2763664525.

The spelling of 4380966912 in words is "four billion, three hundred eighty million, nine hundred sixty-six thousand, nine hundred twelve".