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42200501541 = 3113114219767
BaseRepresentation
bin100111010011010110…
…001000110100100101
311000221000200121010120
4213103112020310211
51142411312022131
631215303112153
73022524226122
oct472326106445
9130830617116
1042200501541
11169960a0460
128218a42659
133c96c2b293
142084939749
15116eca2496
hex9d3588d25

42200501541 has 32 divisors (see below), whose sum is σ = 61732509696. Its totient is φ = 25430664000.

The previous prime is 42200501509. The next prime is 42200501543. The reversal of 42200501541 is 14510500224.

It is not a de Polignac number, because 42200501541 - 25 = 42200501509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200501543) 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 31 ways as a sum of consecutive naturals, for example, 4315840 + ... + 4325606.

It is an arithmetic number, because the mean of its divisors is an integer number (1929140928).

Almost surely, 242200501541 is an apocalyptic number.

It is an amenable number.

42200501541 is a deficient number, since it is larger than the sum of its proper divisors (19532008155).

42200501541 is a wasteful number, since it uses less digits than its factorization.

42200501541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513.

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 42200501541 in words is "forty-two billion, two hundred million, five hundred one thousand, five hundred forty-one".

Divisors: 1 3 11 33 311 421 933 1263 3421 4631 9767 10263 13893 29301 107437 130931 322311 392793 1440241 3037537 4111907 4320723 9112611 12335721 33412907 45230977 100238721 135692931 1278803077 3836409231 14066833847 42200501541