Search a number
-
+
5058307557820 = 2251147718977417
BaseRepresentation
bin100100110011011101010…
…1000000000100110111100
3122220120101011001221221201
41021212322220000212330
51130333403213322240
614431430541505244
71031310401553106
oct111467250004674
918816334057851
105058307557820
111680241823780
12698400b72224
132a8cc4cbcc7a
14136b75560576
158b8a15b4d9a
hex499baa009bc

5058307557820 has 192 divisors, whose sum is σ = 12136367738880. Its totient is φ = 1754927820800.

The previous prime is 5058307557739. The next prime is 5058307557839. The reversal of 5058307557820 is 287557038505.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 65299752 + ... + 65377168.

It is an arithmetic number, because the mean of its divisors is an integer number (63210248640).

Almost surely, 25058307557820 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 5058307557820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068183869440).

5058307557820 is an abundant number, since it is smaller than the sum of its proper divisors (7078060181060).

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

5058307557820 is a wasteful number, since it uses less digits than its factorization.

5058307557820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77644 (or 77642 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 55.

The spelling of 5058307557820 in words is "five trillion, fifty-eight billion, three hundred seven million, five hundred fifty-seven thousand, eight hundred twenty".