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34055152065 = 3251141240927
BaseRepresentation
bin11111101101110110…
…000110000111000001
310020220100202222020100
4133231312012013001
51024221104331230
623351132033013
72313630005424
oct375566060701
9106810688210
1034055152065
1113496277880
126725002769
133299556c6c
141910c379bb
15d44b45660
hex7edd861c1

34055152065 has 72 divisors (see below), whose sum is σ = 66005731584. Its totient is φ = 16108473600.

The previous prime is 34055152049. The next prime is 34055152069. The reversal of 34055152065 is 56025155043.

34055152065 is a `hidden beast` number, since 3 + 40 + 551 + 5 + 2 + 0 + 65 = 666.

It is not a de Polignac number, because 34055152065 - 24 = 34055152049 is a prime.

It is a super-3 number, since 3×340551520653 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34055152069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811632 + ... + 852558.

It is an arithmetic number, because the mean of its divisors is an integer number (916746272).

Almost surely, 234055152065 is an apocalyptic number.

It is an amenable number.

34055152065 is a deficient number, since it is larger than the sum of its proper divisors (31950579519).

34055152065 is a wasteful number, since it uses less digits than its factorization.

34055152065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41031 (or 40987 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 34055152065 in words is "thirty-four billion, fifty-five million, one hundred fifty-two thousand, sixty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1681 1845 2255 4059 5043 6765 8405 15129 18491 20295 25215 40927 55473 75645 92455 122781 166419 204635 277365 368343 450197 613905 832095 1350591 1678007 1841715 2250985 4051773 5034021 6752955 8390035 15102063 18458077 20258865 25170105 55374231 68798287 75510315 92290385 166122693 206394861 276871155 343991435 619184583 756781157 830613465 1031974305 2270343471 3095922915 3783905785 6811030413 11351717355 34055152065