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6407788968 = 2332712713867
BaseRepresentation
bin1011111011110111…
…10001100110101000
3121112120101101222100
411331323301212220
5101110343221333
62535501053400
7314535210330
oct57573614650
917476341870
106407788968
112799036769
1212a9b57260
137b1706709
1444b0400c0
15277839213
hex17def19a8

6407788968 has 48 divisors (see below), whose sum is σ = 19833634080. Its totient is φ = 1830796704.

The previous prime is 6407788943. The next prime is 6407788999. The reversal of 6407788968 is 8698877046.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6356430 + ... + 6357437.

It is an arithmetic number, because the mean of its divisors is an integer number (413200710).

Almost surely, 26407788968 is an apocalyptic number.

It is an amenable number.

6407788968 is an abundant number, since it is smaller than the sum of its proper divisors (13425845112).

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

6407788968 is a wasteful number, since it uses less digits than its factorization.

6407788968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713886 (or 12713879 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 6407788968 is about 80048.6662474772. Note that the first 3 decimals coincide. The cubic root of 6407788968 is about 1857.3884194939.

The spelling of 6407788968 in words is "six billion, four hundred seven million, seven hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 12713867 25427734 38141601 50855468 76283202 88997069 101710936 114424803 152566404 177994138 228849606 266991207 305132808 355988276 457699212 533982414 711976552 800973621 915398424 1067964828 1601947242 2135929656 3203894484 6407788968