Search a number
-
+
6100508035552 = 257173161318429
BaseRepresentation
bin101100011000110001010…
…0111010100100111100000
3210121012110220010202220111
41120301202213110213200
51244422320024114202
620550311255021104
71166514163501660
oct130614247244740
923535426122814
106100508035552
111a42235823147
1282639b96a794
133533771a8c98
141713a24d81a0
15a8a4cac66d7
hex58c629d49e0

6100508035552 has 192 divisors, whose sum is σ = 15006614999040. Its totient is φ = 2380660531200.

The previous prime is 6100508035483. The next prime is 6100508035553. The reversal of 6100508035552 is 2555308050016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6100508035553) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 723748074 + ... + 723756502.

It is an arithmetic number, because the mean of its divisors is an integer number (78159453120).

Almost surely, 26100508035552 is an apocalyptic number.

6100508035552 is a gapful number since it is divisible by the number (62) 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 6100508035552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503307499520).

6100508035552 is an abundant number, since it is smaller than the sum of its proper divisors (8906106963488).

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

6100508035552 is a wasteful number, since it uses less digits than its factorization.

6100508035552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14625 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 6100508035552 in words is "six trillion, one hundred billion, five hundred eight million, thirty-five thousand, five hundred fifty-two".