Search a number
-
+
56189158272 = 273513791759
BaseRepresentation
bin110100010101001000…
…101000001110000000
312101000220210222200000
4310111020220032000
51410033411031042
641451332400000
74026263651652
oct642510501600
9171026728600
1056189158272
1121914351295
12aa81776000
1353b6098060
142a106dc6d2
1516dcde474c
hexd15228380

56189158272 has 384 divisors, whose sum is σ = 182966784000. Its totient is φ = 17060419584.

The previous prime is 56189158271. The next prime is 56189158303. The reversal of 56189158272 is 27285198165.

56189158272 is a `hidden beast` number, since 5 + 618 + 9 + 15 + 8 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56189158271) 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, 31942929 + ... + 31944687.

It is an arithmetic number, because the mean of its divisors is an integer number (476476000).

Almost surely, 256189158272 is an apocalyptic number.

56189158272 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 56189158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91483392000).

56189158272 is an abundant number, since it is smaller than the sum of its proper divisors (126777625728).

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

56189158272 is a wasteful number, since it uses less digits than its factorization.

56189158272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1856 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 56189158272 in words is "fifty-six billion, one hundred eighty-nine million, one hundred fifty-eight thousand, two hundred seventy-two".