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4950188320 = 255711443907
BaseRepresentation
bin1001001110000110…
…11110000100100000
3110202222122121210011
410213003132010200
540114222011240
62135111414304
7233445622630
oct44703360440
913688577704
104950188320
112110285830
12b61984394
1360b73b11c
1434d6166c0
151de8b76ea
hex1270de120

4950188320 has 192 divisors, whose sum is σ = 14629579776. Its totient is φ = 1537735680.

The previous prime is 4950188311. The next prime is 4950188329. The reversal of 4950188320 is 238810594.

It is an interprime number because it is at equal distance from previous prime (4950188311) and next prime (4950188329).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4950188329) 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, 5457307 + ... + 5458213.

It is an arithmetic number, because the mean of its divisors is an integer number (76195728).

Almost surely, 24950188320 is an apocalyptic number.

4950188320 is a gapful number since it is divisible by the number (40) 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 4950188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314789888).

4950188320 is an abundant number, since it is smaller than the sum of its proper divisors (9679391456).

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

4950188320 is a wasteful number, since it uses less digits than its factorization.

4950188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 4950188320 is about 70357.5747165861. The cubic root of 4950188320 is about 1704.2785330872.

The spelling of 4950188320 in words is "four billion, nine hundred fifty million, one hundred eighty-eight thousand, three hundred twenty".