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5169191040 = 273351323011
BaseRepresentation
bin1001101000001101…
…11001100010000000
3111100020202010001000
410310012321202000
541041303103130
62212533412000
7242045253546
oct46406714200
914306663030
105169191040
112212967812
12100319a000
13644c19930
14370743d96
15203c27260
hex1341b9880

5169191040 has 256 divisors, whose sum is σ = 19716681600. Its totient is φ = 1272360960.

The previous prime is 5169191029. The next prime is 5169191059. The reversal of 5169191040 is 401919615.

5169191040 is a `hidden beast` number, since 516 + 91 + 9 + 10 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5169190986 and 5169191004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213135 + ... + 236145.

Almost surely, 25169191040 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 5169191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858340800).

5169191040 is an abundant number, since it is smaller than the sum of its proper divisors (14547490560).

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

5169191040 is a wasteful number, since it uses less digits than its factorization.

5169191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23052 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 5169191040 is about 71897.0864500085. The cubic root of 5169191040 is about 1729.0499020924.

The spelling of 5169191040 in words is "five billion, one hundred sixty-nine million, one hundred ninety-one thousand, forty".