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5662116432 = 2434719107307
BaseRepresentation
bin1010100010111110…
…10000101001010000
3112121121021022120000
411101133100221100
543044000211212
62333502450000
7260212124040
oct52137205120
915547238500
105662116432
112446131975
121120293900
136c309586b
143b9db7720
152321441dc
hex1517d0a50

5662116432 has 400 divisors, whose sum is σ = 19963722240. Its totient is φ = 1513334016.

The previous prime is 5662116431. The next prime is 5662116437. The reversal of 5662116432 is 2346112665.

5662116432 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 1 + 1 + 643 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662116431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18443223 + ... + 18443529.

Almost surely, 25662116432 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 5662116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981861120).

5662116432 is an abundant number, since it is smaller than the sum of its proper divisors (14301605808).

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

5662116432 is a wasteful number, since it uses less digits than its factorization.

5662116432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5662116432 is about 75247.0360346506. The cubic root of 5662116432 is about 1782.3497595957.

The spelling of 5662116432 in words is "five billion, six hundred sixty-two million, one hundred sixteen thousand, four hundred thirty-two".