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6149718272 = 28431793121
BaseRepresentation
bin1011011101000110…
…10100000100000000
3120212120210001112102
411232203110010000
5100043311441042
62454121445532
7305252512535
oct55643240400
916776701472
106149718272
1126763a03a5
1212376408a8
137700c9669
14424a62d8c
1525ed5db32
hex16e8d4100

6149718272 has 72 divisors (see below), whose sum is σ = 12635108640. Its totient is φ = 2985615360.

The previous prime is 6149718259. The next prime is 6149718287. The reversal of 6149718272 is 2728179416.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1968872 + ... + 1971992.

It is an arithmetic number, because the mean of its divisors is an integer number (175487620).

Almost surely, 26149718272 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 6149718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317554320).

6149718272 is an abundant number, since it is smaller than the sum of its proper divisors (6485390368).

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

6149718272 is a wasteful number, since it uses less digits than its factorization.

6149718272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3345 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 6149718272 is about 78420.1394540969. The cubic root of 6149718272 is about 1832.1108226088.

The spelling of 6149718272 in words is "six billion, one hundred forty-nine million, seven hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 179 256 344 358 688 716 1376 1432 2752 2864 3121 5504 5728 6242 7697 11008 11456 12484 15394 22912 24968 30788 45824 49936 61576 99872 123152 134203 199744 246304 268406 399488 492608 536812 558659 798976 985216 1073624 1117318 1970432 2147248 2234636 4294496 4469272 8588992 8938544 17177984 17877088 24022337 34355968 35754176 48044674 71508352 96089348 143016704 192178696 384357392 768714784 1537429568 3074859136 6149718272