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149027484672 = 21032113767593
BaseRepresentation
bin1000101011001010111…
…0101111010000000000
3112020122222111121122100
42022302232233100000
54420202014002142
6152243504110400
713524016501413
oct2126256572000
9466588447570
10149027484672
1158225147a80
1224a71005400
131108cc463c1
1472da559b7a
153d2352bb4c
hex22b2baf400

149027484672 has 528 divisors, whose sum is σ = 490141409472. Its totient is φ = 43210506240.

The previous prime is 149027484667. The next prime is 149027484673. The reversal of 149027484672 is 276484720941.

149027484672 is a `hidden beast` number, since 1 + 4 + 90 + 2 + 7 + 484 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149027484673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251310808 + ... + 251311400.

It is an arithmetic number, because the mean of its divisors is an integer number (928298124).

Almost surely, 2149027484672 is an apocalyptic number.

149027484672 is a gapful number since it is divisible by the number (12) 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 149027484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245070704736).

149027484672 is an abundant number, since it is smaller than the sum of its proper divisors (341113924800).

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

149027484672 is a wasteful number, since it uses less digits than its factorization.

149027484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 149027484672 in words is "one hundred forty-nine billion, twenty-seven million, four hundred eighty-four thousand, six hundred seventy-two".