Search a number
-
+
63190031040 = 263553072647
BaseRepresentation
bin111010110110011010…
…110101101011000000
320001002211012011200000
4322312122311223000
52013403121443130
645010141400000
74364623254513
oct726632655300
9201084164600
1063190031040
1124887141654
12102b6269000
135c60618316
1430b6404d7a
15199c832260
hexeb66b5ac0

63190031040 has 336 divisors, whose sum is σ = 226216902912. Its totient is φ = 16789441536.

The previous prime is 63190031017. The next prime is 63190031057. The reversal of 63190031040 is 4013009136.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 63190030995 and 63190031013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23870997 + ... + 23873643.

It is an arithmetic number, because the mean of its divisors is an integer number (673264592).

Almost surely, 263190031040 is an apocalyptic number.

63190031040 is a gapful number since it is divisible by the number (60) 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 63190031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113108451456).

63190031040 is an abundant number, since it is smaller than the sum of its proper divisors (163026871872).

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

63190031040 is a wasteful number, since it uses less digits than its factorization.

63190031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 63190031040 in words is "sixty-three billion, one hundred ninety million, thirty-one thousand, forty".