Search a number
-
+
552929848704 = 27322235633823
BaseRepresentation
bin10000000101111010010…
…11111110110110000000
31221212012122001121201100
420002331023332312000
533024400020124304
61102002405334400
754643055111142
oct10027513766600
91855178047640
10552929848704
111a3550537212
128b1b3107400
13401aabac68c
141ca94ad8c92
15e5b2811439
hex80bd2fed80

552929848704 has 192 divisors, whose sum is σ = 1601505884160. Its totient is φ = 183109635072.

The previous prime is 552929848663. The next prime is 552929848739. The reversal of 552929848704 is 407848929255.

552929848704 is a `hidden beast` number, since 5 + 529 + 29 + 8 + 4 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 144630537 + ... + 144634359.

It is an arithmetic number, because the mean of its divisors is an integer number (8341176480).

Almost surely, 2552929848704 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 552929848704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800752942080).

552929848704 is an abundant number, since it is smaller than the sum of its proper divisors (1048576035456).

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

552929848704 is a wasteful number, since it uses less digits than its factorization.

552929848704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 552929848704 in words is "five hundred fifty-two billion, nine hundred twenty-nine million, eight hundred forty-eight thousand, seven hundred four".