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3072129216 = 2631310711503
BaseRepresentation
bin1011011100011100…
…1111100011000000
321221002202100000120
42313013033203000
522242431113331
61224502220240
7136062444642
oct26707174300
97832670016
103072129216
111337156172
12718a24680
1339c61a250
14212020892
1512ea90796
hexb71cf8c0

3072129216 has 112 divisors (see below), whose sum is σ = 8836176384. Its totient is φ = 936354816.

The previous prime is 3072129173. The next prime is 3072129223. The reversal of 3072129216 is 6129212703.

3072129216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261321 + ... + 272823.

It is an arithmetic number, because the mean of its divisors is an integer number (78894432).

Almost surely, 23072129216 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 3072129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418088192).

3072129216 is an abundant number, since it is smaller than the sum of its proper divisors (5764047168).

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

3072129216 is a wasteful number, since it uses less digits than its factorization.

3072129216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3072129216 is about 55426.7915001401. The cubic root of 3072129216 is about 1453.7168560159.

The spelling of 3072129216 in words is "three billion, seventy-two million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 156 192 208 214 312 321 416 428 624 642 832 856 1248 1284 1391 1712 2496 2568 2782 3424 4173 5136 5564 6848 8346 10272 11128 11503 16692 20544 22256 23006 33384 34509 44512 46012 66768 69018 89024 92024 133536 138036 149539 184048 267072 276072 299078 368096 448617 552144 598156 736192 897234 1104288 1196312 1230821 1794468 2208576 2392624 2461642 3588936 3692463 4785248 4923284 7177872 7384926 9570496 9846568 14355744 14769852 16000673 19693136 28711488 29539704 32001346 39386272 48002019 59079408 64002692 78772544 96004038 118158816 128005384 192008076 236317632 256010768 384016152 512021536 768032304 1024043072 1536064608 3072129216