Search a number
-
+
153310497500160 = 21035571121319231
BaseRepresentation
bin100010110110111101100001…
…101111100110110000000000
3202002211100012011120100200000
4202312331201233212300000
5130043314344330001120
61302021511550400000
744202214022210640
oct4266754157466000
9662740164510600
10153310497500160
1144938687051500
1215240727500000
13677116bca3170
1429c03a66bc520
1512ace57c12990
hex8b6f61be6c00

153310497500160 has 9504 divisors, whose sum is σ = 811923467636736. Its totient is φ = 26959852339200.

The previous prime is 153310497500159. The next prime is 153310497500219. The reversal of 153310497500160 is 61005794013351.

153310497500160 is a `hidden beast` number, since 1 + 5 + 33 + 10 + 4 + 97 + 500 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9504).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4945499919345 + ... + 4945499919375.

Almost surely, 2153310497500160 is an apocalyptic number.

153310497500160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153310497500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405961733818368).

153310497500160 is an abundant number, since it is smaller than the sum of its proper divisors (658612970136576).

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

153310497500160 is a wasteful number, since it uses less digits than its factorization.

153310497500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 153310497500160 in words is "one hundred fifty-three trillion, three hundred ten billion, four hundred ninety-seven million, five hundred thousand, one hundred sixty".