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5742157680 = 2432571278971
BaseRepresentation
bin1010101100100001…
…00101111101110000
3112211011212211111200
411112100211331300
543224443021210
62345442211200
7262203351330
oct52620457560
915734784450
105742157680
112487331066
121143053b00
1370683b94c
143c68910c0
152391a50c0
hex156425f70

5742157680 has 240 divisors, whose sum is σ = 22214959104. Its totient is φ = 1302013440.

The previous prime is 5742157639. The next prime is 5742157691. The reversal of 5742157680 is 867512475.

5742157680 is a `hidden beast` number, since 5 + 74 + 2 + 1 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 635595 + ... + 644565.

Almost surely, 25742157680 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 5742157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107479552).

5742157680 is an abundant number, since it is smaller than the sum of its proper divisors (16472801424).

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

5742157680 is a wasteful number, since it uses less digits than its factorization.

5742157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5742157680 is about 75777.0260699112. The cubic root of 5742157680 is about 1790.7090893507.

The spelling of 5742157680 in words is "five billion, seven hundred forty-two million, one hundred fifty-seven thousand, six hundred eighty".