Search a number
-
+
4603769381568 = 263731791638581
BaseRepresentation
bin100001011111110011000…
…0010011110001011000000
3121022010010121022011212010
41002333212002132023000
51100412004430202233
613442535323132520
7653416461034560
oct102774602361300
917263117264763
104603769381568
1115154a1883345
126242a9074140
1327519765ca26
1411cb76064da0
157eb4bbe6b63
hex42fe609e2c0

4603769381568 has 448 divisors, whose sum is σ = 14642863800320. Its totient is φ = 1248962457600.

The previous prime is 4603769381539. The next prime is 4603769381623. The reversal of 4603769381568 is 8651839673064.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 4603769381499 and 4603769381508.

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 63 ways as a sum of consecutive naturals, for example, 536503038 + ... + 536511618.

It is an arithmetic number, because the mean of its divisors is an integer number (32684963840).

Almost surely, 24603769381568 is an apocalyptic number.

4603769381568 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 4603769381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321431900160).

4603769381568 is an abundant number, since it is smaller than the sum of its proper divisors (10039094418752).

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

4603769381568 is a wasteful number, since it uses less digits than its factorization.

4603769381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 4603769381568 in words is "four trillion, six hundred three billion, seven hundred sixty-nine million, three hundred eighty-one thousand, five hundred sixty-eight".