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7066740032 = 261141923957
BaseRepresentation
bin1101001010011010…
…11110010101000000
3200020111022120220022
412211031132111000
5103433041140112
63125120433012
7340056204422
oct64515362500
920214276808
107066740032
112aa6a99420
121452778768
138880a29a1
144b0770812
152b55edd72
hex1a535e540

7066740032 has 56 divisors (see below), whose sum is σ = 15335036640. Its totient is φ = 3204354560.

The previous prime is 7066740029. The next prime is 7066740059. The reversal of 7066740032 is 2300476607.

It is a super-2 number, since 2×70667400322 = 99877629359742722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7066739974 and 7066740001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282998 + ... + 306954.

It is an arithmetic number, because the mean of its divisors is an integer number (273839940).

Almost surely, 27066740032 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 7066740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667518320).

7066740032 is an abundant number, since it is smaller than the sum of its proper divisors (8268296608).

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

7066740032 is a wasteful number, since it uses less digits than its factorization.

7066740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24399 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 7066740032 is about 84063.9044536952. The cubic root of 7066740032 is about 1918.9914436881.

The spelling of 7066740032 in words is "seven billion, sixty-six million, seven hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 419 704 838 1676 3352 4609 6704 9218 13408 18436 23957 26816 36872 47914 73744 95828 147488 191656 263527 294976 383312 527054 766624 1054108 1533248 2108216 4216432 8432864 10037983 16865728 20075966 40151932 80303864 110417813 160607728 220835626 321215456 441671252 642430912 883342504 1766685008 3533370016 7066740032