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7016420880 = 24375717337
BaseRepresentation
bin1101000100011011…
…00001011000010000
3200002222122010000000
412202031201120100
5103332200432010
63120122130000
7335605410360
oct64215413020
920088563000
107016420880
112a8064a947
121439950900
1387a835241
144a7bd29a0
152b0eae7c0
hex1a2361610

7016420880 has 640 divisors, whose sum is σ = 29693813760. Its totient is φ = 1504935936.

The previous prime is 7016420869. The next prime is 7016420891. The reversal of 7016420880 is 880246107.

7016420880 is a `hidden beast` number, since 7 + 0 + 1 + 642 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7016420869) and next prime (7016420891).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20820072 + ... + 20820408.

It is an arithmetic number, because the mean of its divisors is an integer number (46396584).

Almost surely, 27016420880 is an apocalyptic number.

7016420880 is a gapful number since it is divisible by the number (70) 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 7016420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846906880).

7016420880 is an abundant number, since it is smaller than the sum of its proper divisors (22677392880).

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

7016420880 is a wasteful number, since it uses less digits than its factorization.

7016420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7016420880 is about 83764.0786972554. The cubic root of 7016420880 is about 1914.4258248125.

Adding to 7016420880 its reverse (880246107), we get a palindrome (7896666987).

The spelling of 7016420880 in words is "seven billion, sixteen million, four hundred twenty thousand, eight hundred eighty".