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3413755610055 = 335727531312183
BaseRepresentation
bin110001101011010011101…
…100001100001111000111
3110002100111111110001001000
4301223103230030033013
5421412332414010210
611132131354104343
7501431021625360
oct61532354141707
913070444401030
103413755610055
1110a684705554a
12471737a1b0b3
131b9bb9c5007b
14bb325d16b67
155dbeda98ac0
hex31ad3b0c3c7

3413755610055 has 64 divisors (see below), whose sum is σ = 6938409093120. Its totient is φ = 1560005941248.

The previous prime is 3413755610051. The next prime is 3413755610099. The reversal of 3413755610055 is 5500165573143.

3413755610055 is a `hidden beast` number, since 3 + 4 + 1 + 37 + 5 + 561 + 0 + 0 + 55 = 666.

It is not a de Polignac number, because 3413755610055 - 22 = 3413755610051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413755610051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1945494 + ... + 3257676.

It is an arithmetic number, because the mean of its divisors is an integer number (108412642080).

Almost surely, 23413755610055 is an apocalyptic number.

3413755610055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3413755610055 is an abundant number, since it is smaller than the sum of its proper divisors (3524653483065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3413755610055 is a wasteful number, since it uses less digits than its factorization.

3413755610055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314957 (or 1314951 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 3413755610055 in words is "three trillion, four hundred thirteen billion, seven hundred fifty-five million, six hundred ten thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2753 8259 13765 19271 24777 41295 57813 74331 96355 123885 173439 289065 371655 520317 867195 1312183 2601585 3936549 6560915 9185281 11809647 19682745 27555843 35428941 45926405 59048235 82667529 137779215 177144705 248002587 413337645 1240012935 3612439799 10837319397 18062198995 25287078593 32511958191 54186596985 75861235779 97535874573 126435392965 162559790955 227583707337 379306178895 487679372865 682751122011 1137918536685 3413755610055