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435442354420051 = 113713112136732931
BaseRepresentation
bin110001100000010000101001…
…0110110101111100101010011
32010002202212211100221211200001
41203000201102312233211103
5424033241420212420201
64142035242301110431
7160501446320534146
oct14300412266574523
92102685740854601
10435442354420051
1111682207a125240
1240a0778b558417
13158c806515c1b4
1479757456a405d
153551cc557a301
hex18c0852daf953

435442354420051 has 32 divisors (see below), whose sum is σ = 491996132534016. Its totient is φ = 381902562288000.

The previous prime is 435442354420049. The next prime is 435442354420081. The reversal of 435442354420051 is 150024453244534.

It is a cyclic number.

It is not a de Polignac number, because 435442354420051 - 21 = 435442354420049 is a prime.

It is a super-2 number, since 2×4354423544200512 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 435442354419983 and 435442354420010.

It is not an unprimeable number, because it can be changed into a prime (435442354420081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61307056 + ... + 68039986.

It is an arithmetic number, because the mean of its divisors is an integer number (15374879141688).

Almost surely, 2435442354420051 is an apocalyptic number.

435442354420051 is a deficient number, since it is larger than the sum of its proper divisors (56553778113965).

435442354420051 is a wasteful number, since it uses less digits than its factorization.

435442354420051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734323.

The product of its (nonzero) digits is 4608000, while the sum is 46.

The spelling of 435442354420051 in words is "four hundred thirty-five trillion, four hundred forty-two billion, three hundred fifty-four million, four hundred twenty thousand, fifty-one".

Divisors: 1 11 37 131 407 1213 1441 4847 13343 44881 53317 158903 493691 1747933 5879411 6732931 64673521 74062241 249118447 882013961 2740302917 8167045303 9702153571 32634516557 89837498333 302180676211 358979682127 1069882934693 3323987438321 11768712281623 39585668583641 435442354420051