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4128829614 = 2327137931907
BaseRepresentation
bin1111011000011000…
…1111000010101110
3101122202010021110100
43312012033002232
531423440021424
61521411051530
7204213321060
oct36606170256
911582107410
104128829614
111829686888
129728a0ba6
1350a51a560
142b24cb730
15192721dc9
hexf618f0ae

4128829614 has 96 divisors (see below), whose sum is σ = 11149931520. Its totient is φ = 1075104576.

The previous prime is 4128829597. The next prime is 4128829699. The reversal of 4128829614 is 4169288214.

4128829614 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 8 + 29 + 614 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4128829614.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 113449 + ... + 145355.

It is an arithmetic number, because the mean of its divisors is an integer number (116145120).

Almost surely, 24128829614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128829614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574965760).

4128829614 is an abundant number, since it is smaller than the sum of its proper divisors (7021101906).

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

4128829614 is a wasteful number, since it uses less digits than its factorization.

4128829614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32014 (or 32011 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4128829614 is about 64255.9694814420. The cubic root of 4128829614 is about 1604.2633193010.

The spelling of 4128829614 in words is "four billion, one hundred twenty-eight million, eight hundred twenty-nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 3081 3318 4977 6162 7189 9243 9954 14378 18486 21567 31907 43134 63814 64701 95721 129402 191442 223349 287163 414791 446698 574326 670047 829582 1244373 1340094 2010141 2488746 2520653 2903537 3733119 4020282 5041306 5807074 7466238 7561959 8710611 15123918 17421222 17644571 22685877 26131833 32768489 35289142 45371754 52263666 52933713 65536978 98305467 105867426 158801139 196610934 229379423 294916401 317602278 458758846 589832802 688138269 1376276538 2064414807 4128829614