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149639156519424 = 293111317374126417
BaseRepresentation
bin100010000001100010010100…
…110001001101001000000000
3201121211100211002210201002220
4202001202110301031020000
5124103141443032110144
61250131140212011040
743343033536604205
oct4201422461151000
9647740732721086
10149639156519424
1143752678852520
12149490a2900a80
136565bb16153c0
1428d48067bbcac
1512476d0457919
hex881894c4d200

149639156519424 has 1280 divisors, whose sum is σ = 521735315802624. Its totient is φ = 37393897881600.

The previous prime is 149639156519417. The next prime is 149639156519431. The reversal of 149639156519424 is 424915651936941.

149639156519424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149639156519417) and next prime (149639156519431).

It is a super-3 number, since 3×1496391565194243 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5664489064 + ... + 5664515480.

Almost surely, 2149639156519424 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 149639156519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260867657901312).

149639156519424 is an abundant number, since it is smaller than the sum of its proper divisors (372096159283200).

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

149639156519424 is a wasteful number, since it uses less digits than its factorization.

149639156519424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26557 (or 26541 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 69.

The spelling of 149639156519424 in words is "one hundred forty-nine trillion, six hundred thirty-nine billion, one hundred fifty-six million, five hundred nineteen thousand, four hundred twenty-four".