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150260928065248 = 257211137518091103
BaseRepresentation
bin100010001010100101011001…
…001111011010111011100000
3201201000210201102122212212011
4202022211121033122323200
5124143333340041041443
61251324530054042304
743435664605543600
oct4212453117327340
9651023642585764
10150260928065248
11439723356646a0
1214a296a8949394
1365ac7109870b0
14291694c334c00
151258971828b9d
hex88a9593daee0

150260928065248 has 576 divisors, whose sum is σ = 405692164362240. Its totient is φ = 53852359680000.

The previous prime is 150260928065203. The next prime is 150260928065257. The reversal of 150260928065248 is 842560829062051.

It is a junction number, because it is equal to n+sod(n) for n = 150260928065192 and 150260928065201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136229308665 + ... + 136229309767.

It is an arithmetic number, because the mean of its divisors is an integer number (704326674240).

Almost surely, 2150260928065248 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 150260928065248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202846082181120).

150260928065248 is an abundant number, since it is smaller than the sum of its proper divisors (255431236296992).

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

150260928065248 is a wasteful number, since it uses less digits than its factorization.

150260928065248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 150260928065248 in words is "one hundred fifty trillion, two hundred sixty billion, nine hundred twenty-eight million, sixty-five thousand, two hundred forty-eight".