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7002080118 = 23211232336599
BaseRepresentation
bin1101000010101101…
…10100001101110110
3200001222122112011200
412201112310031312
5103320013030433
63114450513330
7335342461515
oct64126641566
920058575150
107002080118
112a73545480
121434b95846
13877883997
144a5d3c67c
152aeaca613
hex1a15b4376

7002080118 has 96 divisors (see below), whose sum is σ = 17346700800. Its totient is φ = 2020571520.

The previous prime is 7002080117. The next prime is 7002080123. The reversal of 7002080118 is 8110802007.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7002080091 and 7002080100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7002080117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057783 + ... + 1064381.

It is an arithmetic number, because the mean of its divisors is an integer number (180694800).

Almost surely, 27002080118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7002080118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673350400).

7002080118 is an abundant number, since it is smaller than the sum of its proper divisors (10344620682).

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

7002080118 is a wasteful number, since it uses less digits than its factorization.

7002080118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7002080118 is about 83678.4328127625. The cubic root of 7002080118 is about 1913.1206460346.

The spelling of 7002080118 in words is "seven billion, two million, eighty thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 233 253 414 466 506 699 759 1398 1518 2097 2277 2563 4194 4554 5126 5359 6599 7689 10718 13198 15378 16077 19797 23067 32154 39594 46134 48231 58949 59391 72589 96462 117898 118782 145178 151777 176847 217767 303554 353694 435534 455331 530541 653301 910662 1061082 1306602 1365993 1537567 1669547 2731986 3075134 3339094 4612701 5008641 9225402 10017282 13838103 15025923 16913237 27676206 30051846 33826474 35364041 50739711 70728082 101479422 106092123 152219133 212184246 304438266 318276369 389004451 636552738 778008902 1167013353 2334026706 3501040059 7002080118