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5354696160 = 253451137561
BaseRepresentation
bin1001111110010101…
…00010110111100000
3111211011210202020000
410333022202313200
541431300234120
62243201420000
7246460111032
oct47712426740
914734722200
105354696160
1122a864a530
12105533a600
1367449a488
1438b231c52
1521516b990
hex13f2a2de0

5354696160 has 240 divisors, whose sum is σ = 20616129072. Its totient is φ = 1298073600.

The previous prime is 5354696153. The next prime is 5354696167. The reversal of 5354696160 is 616964535.

5354696160 is a `hidden beast` number, since 5 + 3 + 546 + 96 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5354696153) and next prime (5354696167).

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 not an unprimeable number, because it can be changed into a prime (5354696167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123780 + ... + 161340.

Almost surely, 25354696160 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 5354696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308064536).

5354696160 is an abundant number, since it is smaller than the sum of its proper divisors (15261432912).

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

5354696160 is a wasteful number, since it uses less digits than its factorization.

5354696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37599 (or 37582 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5354696160 is about 73175.7894388574. The cubic root of 5354696160 is about 1749.4905902330.

The spelling of 5354696160 in words is "five billion, three hundred fifty-four million, six hundred ninety-six thousand, one hundred sixty".