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7007689080 = 2334572511231
BaseRepresentation
bin1101000011011000…
…01101100101111000
3200002101012111020000
412201230031211320
5103322432022310
63115211033000
7335441242260
oct64154154570
920071174200
107007689080
112a76726587
121436a3b760
13878a989b2
144a699c7a0
152b03374c0
hex1a1b0d978

7007689080 has 320 divisors, whose sum is σ = 27047623680. Its totient is φ = 1594080000.

The previous prime is 7007689063. The next prime is 7007689103. The reversal of 7007689080 is 809867007.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5692065 + ... + 5693295.

It is an arithmetic number, because the mean of its divisors is an integer number (84523824).

Almost surely, 27007689080 is an apocalyptic number.

7007689080 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 7007689080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523811840).

7007689080 is an abundant number, since it is smaller than the sum of its proper divisors (20039934600).

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

7007689080 is a wasteful number, since it uses less digits than its factorization.

7007689080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7007689080 is about 83711.9410836949. The cubic root of 7007689080 is about 1913.6313398509.

The spelling of 7007689080 in words is "seven billion, seven million, six hundred eighty-nine thousand, eighty".