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149832774864 = 2434532399127
BaseRepresentation
bin1000101110001010111…
…0101011010011010000
3112022202002210121010000
42023202232223103100
54423324142243424
6152455432210000
713552665400263
oct2134256532320
9468662717100
10149832774864
11585a8771463
1225056839900
131118aa2c186
1473754a0cda
153d6e09b3c9
hex22e2bab4d0

149832774864 has 200 divisors, whose sum is σ = 443739098880. Its totient is φ = 48791538432.

The previous prime is 149832774859. The next prime is 149832774869. The reversal of 149832774864 is 468477238941.

149832774864 is a `hidden beast` number, since 1 + 4 + 9 + 83 + 2 + 77 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (149832774859) and next prime (149832774869).

It is a super-2 number, since 2×1498327748642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149832774869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16411869 + ... + 16420995.

Almost surely, 2149832774864 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 149832774864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221869549440).

149832774864 is an abundant number, since it is smaller than the sum of its proper divisors (293906324016).

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

149832774864 is a wasteful number, since it uses less digits than its factorization.

149832774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9424 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 149832774864 in words is "one hundred forty-nine billion, eight hundred thirty-two million, seven hundred seventy-four thousand, eight hundred sixty-four".