Search a number
-
+
52900462368000 = 283653131731331
BaseRepresentation
bin11000000011100110110010…
…10001001001010100000000
320221022020100011210221000000
430001303121101021110000
523413210121331234000
6304302045324000000
714066634525650322
oct1401633121112400
9227266304727000
1052900462368000
1115945a61992685
125b24569990000
132369652480780
14d0c578a3b612
1561b0e0a4c000
hex301cd9449500

52900462368000 has 4032 divisors, whose sum is σ = 233267515213824. Its totient is φ = 11824496640000.

The previous prime is 52900462367999. The next prime is 52900462368001. The reversal of 52900462368000 is 86326400925.

52900462368000 is a `hidden beast` number, since 529 + 0 + 0 + 4 + 62 + 3 + 68 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52900462367999) and next prime (52900462368001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52900462368001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 159820127835 + ... + 159820128165.

It is an arithmetic number, because the mean of its divisors is an integer number (57854046432).

Almost surely, 252900462368000 is an apocalyptic number.

52900462368000 is a gapful number since it is divisible by the number (50) 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 52900462368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116633757606912).

52900462368000 is an abundant number, since it is smaller than the sum of its proper divisors (180367052845824).

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

52900462368000 is a wasteful number, since it uses less digits than its factorization.

52900462368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 52900462368000 its reverse (86326400925), we get a palindrome (52986788768925).

The spelling of 52900462368000 in words is "fifty-two trillion, nine hundred billion, four hundred sixty-two million, three hundred sixty-eight thousand".