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3968218548 = 2232722249557
BaseRepresentation
bin1110110010000110…
…0011010110110100
3101020112220101111100
43230201203112310
531111330443143
61453432410100
7200223205200
oct35441432664
911215811440
103968218548
111756a57368
12928b46930
134b3174918
1429903db00
151835986d3
hexec8635b4

3968218548 has 54 divisors (see below), whose sum is σ = 11668457346. Its totient is φ = 1133776224.

The previous prime is 3968218531. The next prime is 3968218561. The reversal of 3968218548 is 8458128693.

3968218548 is a `hidden beast` number, since 3 + 9 + 6 + 82 + 18 + 548 = 666.

3968218548 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3068938404 + 899280144 = 55398^2 + 29988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3968218494 and 3968218503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1123015 + ... + 1126542.

Almost surely, 23968218548 is an apocalyptic number.

It is an amenable number.

3968218548 is an abundant number, since it is smaller than the sum of its proper divisors (7700238798).

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

3968218548 is a wasteful number, since it uses less digits than its factorization.

3968218548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249581 (or 2249569 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3968218548 is about 62993.7976946937. The cubic root of 3968218548 is about 1583.1857088391.

The spelling of 3968218548 in words is "three billion, nine hundred sixty-eight million, two hundred eighteen thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2249557 4499114 6748671 8998228 13497342 15746899 20246013 26994684 31493798 40492026 47240697 62987596 80984052 94481394 110228293 141722091 188962788 220456586 283444182 330684879 440913172 566888364 661369758 992054637 1322739516 1984109274 3968218548