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42033454601 = 1729121370289
BaseRepresentation
bin100111001001011000…
…111001111000001001
311000111101100201210212
4213021120321320021
51142041031021401
631150534450505
73015425316605
oct471130717011
9130441321725
1042033454601
111690a875636
128190b03a35
133c6b441138
14206a694505
1511602a6dbb
hex9c9639e09

42033454601 has 16 divisors (see below), whose sum is σ = 46079312400. Its totient is φ = 38164697088.

The previous prime is 42033454591. The next prime is 42033454663. The reversal of 42033454601 is 10645433024.

It can be written as a sum of positive squares in 8 ways, for example, as 2211256576 + 39822198025 = 47024^2 + 199555^2 .

It is a cyclic number.

It is not a de Polignac number, because 42033454601 - 222 = 42029260297 is a prime.

It is a super-2 number, since 2×420334546012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42033454301) 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 15 ways as a sum of consecutive naturals, for example, 562865 + ... + 633153.

It is an arithmetic number, because the mean of its divisors is an integer number (2879957025).

Almost surely, 242033454601 is an apocalyptic number.

It is an amenable number.

42033454601 is a deficient number, since it is larger than the sum of its proper divisors (4045857799).

42033454601 is a wasteful number, since it uses less digits than its factorization.

42033454601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71548.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 42033454601 its reverse (10645433024), we get a palindrome (52678887625).

The spelling of 42033454601 in words is "forty-two billion, thirty-three million, four hundred fifty-four thousand, six hundred one".

Divisors: 1 17 29 493 1213 20621 35177 70289 598009 1194913 2038381 34652477 85260557 1449429469 2472556153 42033454601