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3863946112 = 27133797647
BaseRepresentation
bin1110011001001111…
…0010001110000000
3100222021200210121021
43212103302032000
530403132233422
61435225435224
7164516000005
oct34623621600
910867623537
103863946112
1117031079a4
128ba03bb14
13497696560
142892598ac
1517934cdc7
hexe64f2380

3863946112 has 128 divisors (see below), whose sum is σ = 8614952640. Its totient is φ = 1714618368.

The previous prime is 3863946101. The next prime is 3863946127. The reversal of 3863946112 is 2116493683.

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

It is a congruent number.

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, 5971773 + ... + 5972419.

Almost surely, 23863946112 is an apocalyptic number.

3863946112 is a gapful number since it is divisible by the number (32) 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 3863946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307476320).

3863946112 is an abundant number, since it is smaller than the sum of its proper divisors (4751006528).

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

3863946112 is a wasteful number, since it uses less digits than its factorization.

3863946112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3863946112 is about 62160.6476156740. The cubic root of 3863946112 is about 1569.1953782020.

The spelling of 3863946112 in words is "three billion, eight hundred sixty-three million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 97 104 128 148 194 208 296 388 416 481 592 647 776 832 962 1184 1261 1294 1552 1664 1924 2368 2522 2588 3104 3589 3848 4736 5044 5176 6208 7178 7696 8411 10088 10352 12416 14356 15392 16822 20176 20704 23939 28712 30784 33644 40352 41408 46657 47878 57424 61568 62759 67288 80704 82816 93314 95756 114848 125518 134576 161408 186628 191512 229696 251036 269152 311207 373256 383024 459392 502072 538304 622414 746512 766048 815867 1004144 1076608 1244828 1493024 1532096 1631734 2008288 2322083 2489656 2986048 3064192 3263468 4016576 4644166 4979312 5972096 6526936 8033152 9288332 9958624 13053872 18576664 19917248 26107744 30187079 37153328 39834496 52215488 60374158 74306656 104430976 120748316 148613312 241496632 297226624 482993264 965986528 1931973056 3863946112