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7002398116 = 2272232921847
BaseRepresentation
bin1101000010110000…
…00001110110100100
3200002000020200101101
412201120001312210
5103320103214431
63114501405444
7335345254600
oct64130016644
920060220341
107002398116
112a7374238a
121435109884
1387796564c
144a5dc2500
152aeb3e961
hex1a1601da4

7002398116 has 108 divisors (see below), whose sum is σ = 15413606208. Its totient is φ = 2770063296.

The previous prime is 7002398113. The next prime is 7002398119. The reversal of 7002398116 is 6118932007.

It is an interprime number because it is at equal distance from previous prime (7002398113) and next prime (7002398119).

It is not an unprimeable number, because it can be changed into a prime (7002398113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3790305 + ... + 3792151.

It is an arithmetic number, because the mean of its divisors is an integer number (142718576).

Almost surely, 27002398116 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 7002398116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706803104).

7002398116 is an abundant number, since it is smaller than the sum of its proper divisors (8411208092).

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

7002398116 is a wasteful number, since it uses less digits than its factorization.

7002398116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 7002398116 is about 83680.3329104276. The cubic root of 7002398116 is about 1913.1496069205.

The spelling of 7002398116 in words is "seven billion, two million, three hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 29 46 49 58 92 98 116 161 196 203 322 406 644 667 812 841 1127 1334 1421 1682 1847 2254 2668 2842 3364 3694 4508 4669 5684 5887 7388 9338 11774 12929 18676 19343 23548 25858 32683 38686 41209 42481 51716 53563 65366 77372 82418 84962 90503 107126 130732 135401 164836 169924 181006 214252 270802 297367 362012 374941 541604 594734 749882 947807 1189468 1231949 1499764 1553327 1895614 2081569 2463898 2624587 3106654 3791228 4163138 4927796 5249174 6213308 8326276 8623643 10498348 10873289 17247286 21746578 34494572 35726521 43493156 60365501 71453042 76113023 120731002 142906084 152226046 241462004 250085647 304452092 500171294 1000342588 1750599529 3501199058 7002398116