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123496719241 = 726128232
BaseRepresentation
bin111001100000011111…
…0100110001110001001
3102210202200212100112111
41303000332212032021
54010410130003431
6132422243142321
711631235536100
oct1630076461611
9383680770474
10123496719241
1148413751035
121bb269749a1
13b8517755cc
145d978cd037
15332be657b1
hex1cc0fa6389

123496719241 has 27 divisors (see below), whose sum is σ = 146230809543. Its totient is φ = 103992502320.

The previous prime is 123496719217. The next prime is 123496719299. The reversal of 123496719241 is 142917694321.

The square root of 123496719241 is 351421.

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., 4015883641 + 119480835600 = 63371^2 + 345660^2 .

It is not a de Polignac number, because 123496719241 - 25 = 123496719209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (123496719341) 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, 150056356 + ... + 150057178.

It is an arithmetic number, because the mean of its divisors is an integer number (5415955909).

Almost surely, 2123496719241 is an apocalyptic number.

123496719241 is the 351421-st square number.

123496719241 is the 175711-st centered octagonal number.

It is an amenable number.

123496719241 is a deficient number, since it is larger than the sum of its proper divisors (22734090302).

123496719241 is an frugal number, since it uses more digits than its factorization.

123496719241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

Multiplying 123496719241 by its sum of digits (49), we get a square (6051339242809 = 24599472).

123496719241 divided by its sum of digits (49) gives a square (2520341209 = 502032).

The spelling of 123496719241 in words is "one hundred twenty-three billion, four hundred ninety-six million, seven hundred nineteen thousand, two hundred forty-one".

Divisors: 1 7 49 61 427 823 2989 3721 5761 26047 40327 50203 182329 351421 677329 2459947 3062383 4741303 21436681 33189121 41317069 150056767 289219483 2024536381 2520341209 17642388463 123496719241