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7716138072 = 23323102113691
BaseRepresentation
bin1110010111110101…
…01110110001011000
3201220202021102112120
413023322232301120
5111300312404242
63313355341240
7362133043236
oct71372566130
921822242476
107716138072
1132aa616815
1215b4151820
1395c7a5996
14532ad5956
153026281ec
hex1cbeaec58

7716138072 has 64 divisors (see below), whose sum is σ = 20150242560. Its totient is φ = 2457628800.

The previous prime is 7716138061. The next prime is 7716138119. The reversal of 7716138072 is 2708316177.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556747 + ... + 570437.

It is an arithmetic number, because the mean of its divisors is an integer number (314847540).

Almost surely, 27716138072 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 7716138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075121280).

7716138072 is an abundant number, since it is smaller than the sum of its proper divisors (12434104488).

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

7716138072 is a wasteful number, since it uses less digits than its factorization.

7716138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7716138072 is about 87841.5509425921. The cubic root of 7716138072 is about 1976.0594067985.

The spelling of 7716138072 in words is "seven billion, seven hundred sixteen million, one hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1021 2042 3063 4084 6126 8168 12252 13691 23483 24504 27382 41073 46966 54764 70449 82146 93932 109528 140898 164292 187864 281796 314893 328584 563592 629786 944679 1259572 1889358 2519144 3778716 7557432 13978511 27957022 41935533 55914044 83871066 111828088 167742132 321505753 335484264 643011506 964517259 1286023012 1929034518 2572046024 3858069036 7716138072