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149649378120000 = 263354112711272
BaseRepresentation
bin100010000001101011110110…
…000001100001000101000000
3201121212100012110112211002000
4202001223312001201011000
5124103323411244320000
61250135550352224000
743343545045020033
oct4201536601410500
9647770173484060
10149649378120000
1143756a43663300
121494b075b3b000
136566b501b0975
1428d50d614701a
151247acc9da000
hex881af6061140

149649378120000 has 2520 divisors, whose sum is σ = 617645510919360. Its totient is φ = 35486035200000.

The previous prime is 149649378119933. The next prime is 149649378120013. The reversal of 149649378120000 is 21873946941.

149649378120000 is a `hidden beast` number, since 1 + 4 + 9 + 64 + 9 + 378 + 1 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1178341559937 + ... + 1178341560063.

It is an arithmetic number, because the mean of its divisors is an integer number (245097424968).

Almost surely, 2149649378120000 is an apocalyptic number.

149649378120000 is a gapful number since it is divisible by the number (10) 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 149649378120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308822755459680).

149649378120000 is an abundant number, since it is smaller than the sum of its proper divisors (467996132799360).

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

149649378120000 is an equidigital number, since it uses as much as digits as its factorization.

149649378120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 149649378120000 in words is "one hundred forty-nine trillion, six hundred forty-nine billion, three hundred seventy-eight million, one hundred twenty thousand".