Search a number
-
+
553025941128 = 233323316595449
BaseRepresentation
bin10000000110000101110…
…10100010111010001000
31221212110022212121202000
420003002322202322020
533030044120104003
61102020121111000
754645332640033
oct10030272427210
91855408777660
10553025941128
111a359a7a9941
128b21b328460
13401c4a856bb
141caa379001a
15e5bae931a3
hex80c2ea2e88

553025941128 has 256 divisors, whose sum is σ = 1657497600000. Its totient is φ = 170348935680.

The previous prime is 553025941123. The next prime is 553025941199. The reversal of 553025941128 is 821149520355.

553025941128 is a `hidden beast` number, since 5 + 5 + 30 + 2 + 594 + 1 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (553025941123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101488548 + ... + 101493996.

It is an arithmetic number, because the mean of its divisors is an integer number (6474600000).

Almost surely, 2553025941128 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 553025941128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828748800000).

553025941128 is an abundant number, since it is smaller than the sum of its proper divisors (1104471658872).

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

553025941128 is a wasteful number, since it uses less digits than its factorization.

553025941128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 553025941128 in words is "five hundred fifty-three billion, twenty-five million, nine hundred forty-one thousand, one hundred twenty-eight".