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5175239040 = 27355107311
BaseRepresentation
bin1001101000111011…
…11110000110000000
3111100200010101100000
410310131332012000
541044330122130
62213311200000
7242150543316
oct46435760600
914320111300
105175239040
112216318764
121005216000
1364625672a
1437147a0b6
1520451e260
hex13477e180

5175239040 has 384 divisors, whose sum is σ = 18765976320. Its totient is φ = 1362769920.

The previous prime is 5175239029. The next prime is 5175239077. The reversal of 5175239040 is 409325715.

5175239040 is a `hidden beast` number, since 5 + 1 + 7 + 523 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×51752390402 = 53566198242280243200, which contains 22 as substring.

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 = 5175238986 and 5175239004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16640485 + ... + 16640795.

It is an arithmetic number, because the mean of its divisors is an integer number (48869730).

Almost surely, 25175239040 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 5175239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382988160).

5175239040 is an abundant number, since it is smaller than the sum of its proper divisors (13590737280).

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

5175239040 is a wasteful number, since it uses less digits than its factorization.

5175239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5175239040 is about 71939.1342733564. The cubic root of 5175239040 is about 1729.7239739153.

The spelling of 5175239040 in words is "five billion, one hundred seventy-five million, two hundred thirty-nine thousand, forty".