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7136897040 = 243457313219
BaseRepresentation
bin1101010010110010…
…00110100000010000
3200102101022221020000
412221121012200100
5104104021201130
63140104250000
7341600424000
oct65131064020
920371287200
107136897040
113032657419
121472170900
13899797b00
144b9bd4000
152bb85b260
hex1a9646810

7136897040 has 1200 divisors, whose sum is σ = 32948784000. Its totient is φ = 1426553856.

The previous prime is 7136897039. The next prime is 7136897099. The reversal of 7136897040 is 407986317.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 375626151 + ... + 375626169.

It is an arithmetic number, because the mean of its divisors is an integer number (27457320).

Almost surely, 27136897040 is an apocalyptic number.

7136897040 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 7136897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474392000).

7136897040 is an abundant number, since it is smaller than the sum of its proper divisors (25811886960).

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

7136897040 is a wasteful number, since it uses less digits than its factorization.

7136897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7136897040 is about 84480.1576703074. The cubic root of 7136897040 is about 1925.3209822878.

The spelling of 7136897040 in words is "seven billion, one hundred thirty-six million, eight hundred ninety-seven thousand, forty".