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2743039104 = 273133714851
BaseRepresentation
bin1010001101111111…
…0111010010000000
321002011111211020220
42203133313102000
521104204222404
61132104503040
7124655306361
oct24337672200
97064454226
102743039104
111188412973
1264677aa80
133493a5680
141c0437b68
15110c374d9
hexa37f7480

2743039104 has 128 divisors (see below), whose sum is σ = 8059289280. Its totient is φ = 821145600.

The previous prime is 2743039069. The next prime is 2743039109. The reversal of 2743039104 is 4019303472.

2743039104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2743039109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177279 + ... + 192129.

Almost surely, 22743039104 is an apocalyptic number.

2743039104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2743039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029644640).

2743039104 is an abundant number, since it is smaller than the sum of its proper divisors (5316250176).

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

2743039104 is a wasteful number, since it uses less digits than its factorization.

2743039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14918 (or 14906 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2743039104 is about 52374.0308168084. The cubic root of 2743039104 is about 1399.8365632340.

The spelling of 2743039104 in words is "two billion, seven hundred forty-three million, thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 384 416 444 481 592 624 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 3552 3848 4736 4992 5772 7104 7696 11544 14208 14851 15392 23088 29702 30784 44553 46176 59404 61568 89106 92352 118808 178212 184704 193063 237616 356424 386126 475232 549487 579189 712848 772252 950464 1098974 1158378 1425696 1544504 1648461 1900928 2197948 2316756 2851392 3089008 3296922 4395896 4633512 5702784 6178016 6593844 7143331 8791792 9267024 12356032 13187688 14286662 17583584 18534048 21429993 24712064 26375376 28573324 35167168 37068096 42859986 52750752 57146648 70334336 74136192 85719972 105501504 114293296 171439944 211003008 228586592 342879888 457173184 685759776 914346368 1371519552 2743039104