Search a number
-
+
4928450905680 = 243523312929069
BaseRepresentation
bin100011110110111111010…
…0100001100011001010000
3122110011012012212112121220
41013231332210030121100
51121221431412440210
614252033223045040
71016032415331411
oct107557644143120
918404165775556
104928450905680
111630165062a55
126772002a0780
1329999ba28573
1413077712b808
1588301119c70
hex47b7e90c650

4928450905680 has 240 divisors, whose sum is σ = 16473347602560. Its totient is φ = 1216558801920.

The previous prime is 4928450905669. The next prime is 4928450905699. The reversal of 4928450905680 is 865090548294.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4840186 + ... + 5769254.

It is an arithmetic number, because the mean of its divisors is an integer number (68638948344).

Almost surely, 24928450905680 is an apocalyptic number.

4928450905680 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 4928450905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236673801280).

4928450905680 is an abundant number, since it is smaller than the sum of its proper divisors (11544896696880).

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

4928450905680 is a wasteful number, since it uses less digits than its factorization.

4928450905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929170 (or 929133 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 4928450905680 in words is "four trillion, nine hundred twenty-eight billion, four hundred fifty million, nine hundred five thousand, six hundred eighty".