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345692581149 = 36431321135661
BaseRepresentation
bin1010000011111001110…
…00100010110100011101
31020001021220120122112110
411001330320202310131
521130434300044044
6422450423424233
733655404312546
oct5017470426435
91201256518473
10345692581149
111236754a4863
1256bb78b5079
13267a2382386
1412a357774cd
158ed3d066b9
hex507ce22d1d

345692581149 has 16 divisors (see below), whose sum is σ = 461993142464. Its totient is φ = 229927420800.

The previous prime is 345692581127. The next prime is 345692581159. The reversal of 345692581149 is 941185296543.

It is not a de Polignac number, because 345692581149 - 211 = 345692579101 is a prime.

It is a super-2 number, since 2×3456925811492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345692581159) 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 15 ways as a sum of consecutive naturals, for example, 2480379 + ... + 2616039.

It is an arithmetic number, because the mean of its divisors is an integer number (28874571404).

Almost surely, 2345692581149 is an apocalyptic number.

It is an amenable number.

345692581149 is a deficient number, since it is larger than the sum of its proper divisors (116300561315).

345692581149 is a wasteful number, since it uses less digits than its factorization.

345692581149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137628.

The product of its digits is 9331200, while the sum is 57.

It can be divided in two parts, 345692 and 581149, that added together give a triangular number (926841 = T1361).

The spelling of 345692581149 in words is "three hundred forty-five billion, six hundred ninety-two million, five hundred eighty-one thousand, one hundred forty-nine".

Divisors: 1 3 643 1321 1929 3963 135661 406983 849403 2548209 87230023 179208181 261690069 537624543 115230860383 345692581149