Search a number
-
+
4565151253728 = 25331321271731423
BaseRepresentation
bin100001001101110100000…
…1110000000010011100000
3121011102110020111000121000
41002123220032000103200
51044243412210104403
613413111310432000
7650551463255562
oct102335016002340
917142406430530
104565151253728
11150008496230a
1261890bb02600
1327165197ca00
1411ad5120b332
157db3b6c37a3
hex426e83804e0

4565151253728 has 576 divisors, whose sum is σ = 14625840660480. Its totient is φ = 1384572413952.

The previous prime is 4565151253717. The next prime is 4565151253807. The reversal of 4565151253728 is 8273521515654.

4565151253728 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 1 + 512 + 53 + 72 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3208116825 + ... + 3208118247.

It is an arithmetic number, because the mean of its divisors is an integer number (25392084480).

Almost surely, 24565151253728 is an apocalyptic number.

4565151253728 is a gapful number since it is divisible by the number (48) 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 4565151253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312920330240).

4565151253728 is an abundant number, since it is smaller than the sum of its proper divisors (10060689406752).

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

4565151253728 is a wasteful number, since it uses less digits than its factorization.

4565151253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1741 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 4565151253728 in words is "four trillion, five hundred sixty-five billion, one hundred fifty-one million, two hundred fifty-three thousand, seven hundred twenty-eight".