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5174023680 = 29325724583
BaseRepresentation
bin1001101000110010…
…10101011000000000
3111100120211122011200
410310121111120000
541044022224210
62213225141200
7242134322100
oct46431253000
914316748150
105174023680
112215668631
12100492a800
13645c1c497
14371241200
1520437e0c0
hex134655600

5174023680 has 360 divisors, whose sum is σ = 20849214672. Its totient is φ = 1182375936.

The previous prime is 5174023667. The next prime is 5174023727. The reversal of 5174023680 is 863204715.

5174023680 is a `hidden beast` number, since 517 + 40 + 23 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1126669 + ... + 1131251.

Almost surely, 25174023680 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 5174023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424607336).

5174023680 is an abundant number, since it is smaller than the sum of its proper divisors (15675190992).

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

5174023680 is a wasteful number, since it uses less digits than its factorization.

5174023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5174023680 is about 71930.6866365114. The cubic root of 5174023680 is about 1729.5885597570.

The spelling of 5174023680 in words is "five billion, one hundred seventy-four million, twenty-three thousand, six hundred eighty".