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42541950049 = 23928632
BaseRepresentation
bin100111100111101100…
…101010010001100001
311001210211011222102121
4213213230222101201
51144111214400144
631313221344241
73034141415614
oct474754522141
9131724158377
1042541950049
1117050904805
1282b3268081
13401c8ac011
1420b801c17b
15118ec4c384
hex9e7b2a461

42541950049 has 9 divisors (see below), whose sum is σ = 42770254513. Its totient is φ = 42314861092.

The previous prime is 42541950043. The next prime is 42541950053. The reversal of 42541950049 is 94005914524.

The square root of 42541950049 is 206257.

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

42541950049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42541950049 - 215 = 42541917281 is a prime.

It is a super-2 number, since 2×425419500492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42541949987 and 42541950014.

It is not an unprimeable number, because it can be changed into a prime (42541950043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49294992 + ... + 49295854.

Almost surely, 242541950049 is an apocalyptic number.

42541950049 is the 206257-th square number.

42541950049 is the 103129-th centered octagonal number.

It is an amenable number.

42541950049 is a deficient number, since it is larger than the sum of its proper divisors (228304464).

42541950049 is an frugal number, since it uses more digits than its factorization.

42541950049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 42541950049 in words is "forty-two billion, five hundred forty-one million, nine hundred fifty thousand, forty-nine".

Divisors: 1 239 863 57121 206257 744769 49295423 177999791 42541950049