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4271829016 = 237313313863
BaseRepresentation
bin1111111010011110…
…1111000000011000
3102000201012101202111
43332213233000120
532222042012031
61543520042104
7210600643000
oct37647570030
912021171674
104271829016
1118a2377404
129b2763334
13531037ba0
142c74b3000
151a006c1b1
hexfe9ef018

4271829016 has 128 divisors (see below), whose sum is σ = 10386432000. Its totient is φ = 1635016320.

The previous prime is 4271829011. The next prime is 4271829019. The reversal of 4271829016 is 6109281724.

It is a self number, because there is not a number n which added to its sum of digits gives 4271829016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271829011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103901 + ... + 1107763.

It is an arithmetic number, because the mean of its divisors is an integer number (81144000).

Almost surely, 24271829016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4271829016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193216000).

4271829016 is an abundant number, since it is smaller than the sum of its proper divisors (6114602984).

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

4271829016 is a wasteful number, since it uses less digits than its factorization.

4271829016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 4271829016 is about 65359.2305340263. The cubic root of 4271829016 is about 1622.5744029166.

The spelling of 4271829016 in words is "four billion, two hundred seventy-one million, eight hundred twenty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 343 364 392 403 434 637 686 728 806 868 1274 1372 1519 1612 1736 2548 2744 2821 3038 3224 3863 4459 5096 5642 6076 7726 8918 10633 11284 12152 15452 17836 19747 21266 22568 27041 30904 35672 39494 42532 50219 54082 78988 85064 100438 108164 119753 138229 157976 189287 200876 216328 239506 276458 351533 378574 401752 479012 552916 703066 757148 838271 958024 1105832 1325009 1406132 1514296 1556789 1676542 2460731 2650018 2812264 3113578 3353084 4921462 5300036 5867897 6227156 6706168 9842924 10600072 10897523 11735794 12454312 17225117 19685848 21795046 23471588 34450234 41075279 43590092 46943176 68900468 76282661 82150558 87180184 137800936 152565322 164301116 305130644 328602232 533978627 610261288 1067957254 2135914508 4271829016