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7000209216 = 2634711131971
BaseRepresentation
bin1101000010011111…
…01011011101000000
3200001212010110210000
412201033223131000
5103314023143331
63114342440000
7335320540140
oct64117533500
920055113700
107000209216
112a72487880
121434433000
1387737a240
144a59b2920
152ae85b0e6
hex1a13eb740

7000209216 has 1120 divisors, whose sum is σ = 29740677120. Its totient is φ = 1567641600.

The previous prime is 7000209199. The next prime is 7000209239. The reversal of 7000209216 is 6129020007.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 7000209216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98594461 + ... + 98594531.

It is an arithmetic number, because the mean of its divisors is an integer number (26554176).

Almost surely, 27000209216 is an apocalyptic number.

7000209216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870338560).

7000209216 is an abundant number, since it is smaller than the sum of its proper divisors (22740467904).

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

7000209216 is a wasteful number, since it uses less digits than its factorization.

7000209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7000209216 is about 83667.2529488091. The cubic root of 7000209216 is about 1912.9502404783.

The spelling of 7000209216 in words is "seven billion, two hundred nine thousand, two hundred sixteen".