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42067531701 = 32132797128549
BaseRepresentation
bin100111001011011010…
…111001011110110101
311000120202111000210200
4213023122321132311
51142123242003301
631154153111113
73016321056006
oct471332713665
9130522430720
1042067531701
1116928030228
1281a03b8499
133c75512ac0
1420710051ad
151163288c86
hex9cb6b97b5

42067531701 has 24 divisors (see below), whose sum is σ = 65462287800. Its totient is φ = 25878254976.

The previous prime is 42067531663. The next prime is 42067531717. The reversal of 42067531701 is 10713576024.

It is a happy number.

42067531701 is a `hidden beast` number, since 420 + 67 + 5 + 3 + 170 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135140625 + 41932391076 = 11625^2 + 204774^2 .

It is not a de Polignac number, because 42067531701 - 29 = 42067531189 is a prime.

It is a super-3 number, since 3×420675317013 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067533701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262975 + ... + 391523.

It is an arithmetic number, because the mean of its divisors is an integer number (2727595325).

Almost surely, 242067531701 is an apocalyptic number.

It is an amenable number.

42067531701 is a deficient number, since it is larger than the sum of its proper divisors (23394756099).

42067531701 is a wasteful number, since it uses less digits than its factorization.

42067531701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131365 (or 131362 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 42067531701 in words is "forty-two billion, sixty-seven million, five hundred thirty-one thousand, seven hundred one".

Divisors: 1 3 9 13 39 117 2797 8391 25173 36361 109083 128549 327249 385647 1156941 1671137 5013411 15040233 359551553 1078654659 3235963977 4674170189 14022510567 42067531701