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7966572138 = 2327312936961
BaseRepresentation
bin1110110101101100…
…00011111001101010
3202120012111210111100
413122312003321222
5112303420302023
63354303142230
7401263513560
oct73266037152
922505453440
107966572138
113418a16618
121663ba4976
1399c63ab15
14558085a30
153195e5c43
hex1dad83e6a

7966572138 has 96 divisors (see below), whose sum is σ = 20435530752. Its totient is φ = 2194905600.

The previous prime is 7966572101. The next prime is 7966572139. The reversal of 7966572138 is 8312756697.

7966572138 is a `hidden beast` number, since 7 + 9 + 66 + 572 + 1 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7966572139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1140978 + ... + 1147938.

It is an arithmetic number, because the mean of its divisors is an integer number (212870112).

Almost surely, 27966572138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966572138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217765376).

7966572138 is an abundant number, since it is smaller than the sum of its proper divisors (12468958614).

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

7966572138 is a wasteful number, since it uses less digits than its factorization.

7966572138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7297 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 7966572138 is about 89255.6560560730. The cubic root of 7966572138 is about 1997.2104558640.

The spelling of 7966572138 in words is "seven billion, nine hundred sixty-six million, five hundred seventy-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 293 434 558 586 651 879 1302 1758 1953 2051 2637 3906 4102 5274 6153 6961 9083 12306 13922 18166 18459 20883 27249 36918 41766 48727 54498 62649 63581 81747 97454 125298 127162 146181 163494 190743 215791 292362 381486 431582 438543 572229 647373 877086 1144458 1294746 1510537 1942119 2039573 3021074 3884238 4079146 4531611 6118719 9063222 12237438 13594833 14277011 18356157 27189666 28554022 36712314 42831033 63226763 85662066 126453526 128493099 189680289 256986198 379360578 442587341 569040867 885174682 1138081734 1327762023 2655524046 3983286069 7966572138