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3877986312 = 23324121792
BaseRepresentation
bin1110011100100101…
…0110000000001000
3101000021010010010200
43213021112000020
530420231030222
61440450412200
7165046224354
oct34711260010
911007103120
103877986312
111710027572
12902891060
1349a571075
1428b072464
1517a6c2eac
hexe7256008

3877986312 has 108 divisors (see below), whose sum is σ = 10825772685. Its totient is φ = 1254088320.

The previous prime is 3877986311. The next prime is 3877986361. The reversal of 3877986312 is 2136897783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2769495876 + 1108490436 = 52626^2 + 33294^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44034.

It is a super-2 number, since 2×38779863122 = 30077555672118722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3877986311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21664639 + ... + 21664817.

Almost surely, 23877986312 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 3877986312

3877986312 is an abundant number, since it is smaller than the sum of its proper divisors (6947786373).

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

3877986312 is a wasteful number, since it uses less digits than its factorization.

3877986312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 225 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3877986312 is about 62273.4800055369. The cubic root of 3877986312 is about 1571.0937125990.

The spelling of 3877986312 in words is "three billion, eight hundred seventy-seven million, nine hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 179 246 328 358 369 492 537 716 738 984 1074 1432 1476 1611 1681 2148 2952 3222 3362 4296 5043 6444 6724 7339 10086 12888 13448 14678 15129 20172 22017 29356 30258 32041 40344 44034 58712 60516 64082 66051 88068 96123 121032 128164 132102 176136 192246 256328 264204 288369 300899 384492 528408 576738 601798 768984 902697 1153476 1203596 1313681 1805394 2306952 2407192 2627362 2708091 3610788 3941043 5254724 5416182 7221576 7882086 10509448 10832364 11823129 15764172 21664728 23646258 31528344 47292516 53860921 94585032 107721842 161582763 215443684 323165526 430887368 484748289 646331052 969496578 1292662104 1938993156 3877986312