Search a number
-
+
149595281047520 = 2557111723473132111
BaseRepresentation
bin100010000000111001011101…
…100101100011111111100000
3201121200011120100100210120222
4202000321131211203333200
5124101432113422010040
61250055042352222212
743336621343340410
oct4200713545437740
9647604510323528
10149595281047520
1143736003235040
1214940698b3a968
136561a0b6923c9
1428d2643634640
1512464b35e7bb5
hex880e5d963fe0

149595281047520 has 1536 divisors, whose sum is σ = 499012677402624. Its totient is φ = 40932546969600.

The previous prime is 149595281047493. The next prime is 149595281047549. The reversal of 149595281047520 is 25740182595941.

It is a happy number.

It is a super-2 number, since 2×1495952810475202 (a number of 29 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 70864651265 + ... + 70864653375.

It is an arithmetic number, because the mean of its divisors is an integer number (324878045184).

Almost surely, 2149595281047520 is an apocalyptic number.

149595281047520 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 149595281047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249506338701312).

149595281047520 is an abundant number, since it is smaller than the sum of its proper divisors (349417396355104).

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

149595281047520 is a wasteful number, since it uses less digits than its factorization.

149595281047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 62.

The spelling of 149595281047520 in words is "one hundred forty-nine trillion, five hundred ninety-five billion, two hundred eighty-one million, forty-seven thousand, five hundred twenty".