Search a number
-
+
552217795272 = 23331121319113757
BaseRepresentation
bin10000000100100101011…
…11101101101011001000
31221210101000012120001000
420002102233231223020
533021420223422042
61101404011455000
754616320545463
oct10022257555310
91853330176030
10552217795272
111a3215604a00
128b034757460
13400c650cba0
141ca283042da
15e57005c74c
hex8092bedac8

552217795272 has 768 divisors, whose sum is σ = 1930789728000. Its totient is φ = 144850083840.

The previous prime is 552217795229. The next prime is 552217795301. The reversal of 552217795272 is 272597712255.

It is a happy number.

552217795272 is a `hidden beast` number, since 5 + 522 + 1 + 7 + 7 + 95 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729481518 + ... + 729482274.

It is an arithmetic number, because the mean of its divisors is an integer number (2514049125).

Almost surely, 2552217795272 is an apocalyptic number.

552217795272 is a gapful number since it is divisible by the number (52) 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 552217795272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965394864000).

552217795272 is an abundant number, since it is smaller than the sum of its proper divisors (1378571932728).

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

552217795272 is a wasteful number, since it uses less digits than its factorization.

552217795272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its digits is 6174000, while the sum is 54.

The spelling of 552217795272 in words is "five hundred fifty-two billion, two hundred seventeen million, seven hundred ninety-five thousand, two hundred seventy-two".