Search a number
-
+
2052378920448 = 293229432511423
BaseRepresentation
bin11101110111011011010…
…100010000011000000000
321021012112211000200221200
4131313123110100120000
5232111233000423243
64210503323021200
7301164601660653
oct35673324203000
97235484020850
102052378920448
11721455438a9a
1229192166a800
1311b70011c11c
147149b11389a
15385c1632ad3
hex1dddb510600

2052378920448 has 480 divisors, whose sum is σ = 6299461808640. Its totient is φ = 642152448000.

The previous prime is 2052378920443. The next prime is 2052378920497. The reversal of 2052378920448 is 8440298732502.

2052378920448 is a `hidden beast` number, since 2 + 0 + 523 + 78 + 9 + 2 + 0 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2052378920394 and 2052378920403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052378920443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442289465 + ... + 1442290887.

It is an arithmetic number, because the mean of its divisors is an integer number (13123878768).

Almost surely, 22052378920448 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 2052378920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149730904320).

2052378920448 is an abundant number, since it is smaller than the sum of its proper divisors (4247082888192).

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

2052378920448 is a wasteful number, since it uses less digits than its factorization.

2052378920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2052378920448 in words is "two trillion, fifty-two billion, three hundred seventy-eight million, nine hundred twenty thousand, four hundred forty-eight".