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149095372608 = 263271310128163
BaseRepresentation
bin1000101011011011000…
…1101101011101000000
3112020211201020200101100
42022312301231131000
54420321403410413
6152254331134400
713525502520420
oct2126661553500
9466751220340
10149095372608
115825a4a6206
1224a8b8a4400
13110a1025790
14730558c480
153d2948ba73
hex22b6c6d740

149095372608 has 336 divisors, whose sum is σ = 531201879936. Its totient is φ = 38931148800.

The previous prime is 149095372589. The next prime is 149095372633. The reversal of 149095372608 is 806273590941.

149095372608 is a `hidden beast` number, since 1 + 49 + 0 + 9 + 537 + 2 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5279935 + ... + 5308097.

It is an arithmetic number, because the mean of its divisors is an integer number (1580957976).

It is a 1-persistent number, because it is pandigital, but 2⋅149095372608 = 298190745216 is not.

Almost surely, 2149095372608 is an apocalyptic number.

149095372608 is a gapful number since it is divisible by the number (18) 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 149095372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265600939968).

149095372608 is an abundant number, since it is smaller than the sum of its proper divisors (382106507328).

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

149095372608 is a wasteful number, since it uses less digits than its factorization.

149095372608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28302 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 149095372608 in words is "one hundred forty-nine billion, ninety-five million, three hundred seventy-two thousand, six hundred eight".