[go: up one dir, main page]

Search a number
-
+
4991305536 = 26367172931
BaseRepresentation
bin1001010011000000…
…10100011101000000
3110212212000121000000
410221200110131000
540210233234121
62143141000000
7234455253120
oct45140243500
913785017000
104991305536
1121315097a8
12b736b3000
13617106339
14354c7ac80
151e32da526
hex129814740

4991305536 has 784 divisors, whose sum is σ = 19189232640. Its totient is φ = 1254113280.

The previous prime is 4991305481. The next prime is 4991305549. The reversal of 4991305536 is 6355031994.

4991305536 is a `hidden beast` number, since 4 + 9 + 91 + 3 + 0 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4991305491 and 4991305500.

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 111 ways as a sum of consecutive naturals, for example, 161009841 + ... + 161009871.

Almost surely, 24991305536 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 4991305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594616320).

4991305536 is an abundant number, since it is smaller than the sum of its proper divisors (14197927104).

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

4991305536 is a wasteful number, since it uses less digits than its factorization.

4991305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 4991305536 is about 70649.1722244500. The cubic root of 4991305536 is about 1708.9842166630.

The spelling of 4991305536 in words is "four billion, nine hundred ninety-one million, three hundred five thousand, five hundred thirty-six".