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748707747841 = 192455412
BaseRepresentation
bin10101110010100100111…
…01011001100000000001
32122120112201201100122201
422321102131121200001
544231323140412331
61331541313233201
7105043450565164
oct12712235314001
92576481640581
10748707747841
11269586006559
12101130862801
13557ab585401
142834816dadb
151472028ca61
hexae52759801

748707747841 has 9 divisors (see below), whose sum is σ = 790204752963. Its totient is φ = 709286501880.

The previous prime is 748707747833. The next prime is 748707747877. The reversal of 748707747841 is 148747707847.

The square root of 748707747841 is 865279.

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

It can be written as a sum of positive squares in only one way, i.e., 54252192241 + 694455555600 = 232921^2 + 833340^2 .

It is not a de Polignac number, because 748707747841 - 23 = 748707747833 is a prime.

It is a super-2 number, since 2×7487077478412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (748707747811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16417531 + ... + 16463071.

It is an arithmetic number, because the mean of its divisors is an integer number (87800528107).

Almost surely, 2748707747841 is an apocalyptic number.

748707747841 is the 865279-th square number.

748707747841 is the 432640-th centered octagonal number.

It is an amenable number.

748707747841 is a deficient number, since it is larger than the sum of its proper divisors (41497005122).

748707747841 is an frugal number, since it uses more digits than its factorization.

748707747841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91120 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 68841472, while the sum is 64.

Multiplying 748707747841 by its sum of digits (64), we get a square (47917295861824 = 69222322).

The spelling of 748707747841 in words is "seven hundred forty-eight billion, seven hundred seven million, seven hundred forty-seven thousand, eight hundred forty-one".

Divisors: 1 19 361 45541 865279 16440301 2073982681 39405670939 748707747841