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149983094016 = 283475471889
BaseRepresentation
bin1000101110101110110…
…0000110010100000000
3112100010120122121020000
42023223230012110000
54424131133002031
6152522402120000
713556502156450
oct2135354062400
9470116577200
10149983094016
1158675601468
1225099050000
13111b2c10412
14738b42dd60
153d7c3903e6
hex22ebb06500

149983094016 has 360 divisors, whose sum is σ = 512316826560. Its totient is φ = 42751328256.

The previous prime is 149983094011. The next prime is 149983094039. The reversal of 149983094016 is 610490389941.

It is a happy number.

149983094016 is a `hidden beast` number, since 149 + 98 + 3 + 0 + 9 + 401 + 6 = 666.

It is a super-2 number, since 2×1499830940162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149983094011) 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, 79397200 + ... + 79399088.

It is an arithmetic number, because the mean of its divisors is an integer number (1423102296).

Almost surely, 2149983094016 is an apocalyptic number.

149983094016 is a gapful number since it is divisible by the number (16) 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 149983094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256158413280).

149983094016 is an abundant number, since it is smaller than the sum of its proper divisors (362333732544).

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

149983094016 is an equidigital number, since it uses as much as digits as its factorization.

149983094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 149983094016 in words is "one hundred forty-nine billion, nine hundred eighty-three million, ninety-four thousand, sixteen".