Search a number
-
+
748607378841 = 3272412012
BaseRepresentation
bin10101110010011000111…
…10100001010110011001
32122120021201212002021100
422321030132201112121
544231121442110331
61331523330102013
7105041121505200
oct12711436412631
92576251762240
10748607378841
11269534392873
1210110311a909
135579384297a
1428338ac4237
1514716563ae6
hexae4c7a1599

748607378841 has 27 divisors (see below), whose sum is σ = 1257894629823. Its totient is φ = 427765262400.

The previous prime is 748607378819. The next prime is 748607378879. The reversal of 748607378841 is 148873706847.

The square root of 748607378841 is 865221.

It is a perfect power (a square), and thus also a powerful number.

748607378841 is a `hidden beast` number, since 7 + 486 + 0 + 7 + 3 + 78 + 84 + 1 = 666.

748607378841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 636837516441 + 111769862400 = 798021^2 + 334320^2 .

It is not a de Polignac number, because 748607378841 - 25 = 748607378809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (748607374841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18149041 + ... + 18190241.

Almost surely, 2748607378841 is an apocalyptic number.

748607378841 is the 865221-st square number.

748607378841 is the 432611-st centered octagonal number.

It is an amenable number.

748607378841 is a deficient number, since it is larger than the sum of its proper divisors (509287250982).

748607378841 is an frugal number, since it uses more digits than its factorization.

748607378841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82422 (or 41211 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 748607378841 in words is "seven hundred forty-eight billion, six hundred seven million, three hundred seventy-eight thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 41201 123603 288407 370809 865221 2018849 2595663 6056547 18169641 1697522401 5092567203 11882656807 15277701609 35647970421 83178597649 106943911263 249535792947 748607378841