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244106982153216 = 2103573133147151
BaseRepresentation
bin110111100000001110010101…
…111101010101110000000000
31012000022101210022001020200000
4313200032111331111300000
5223443422044412400331
62223101111030400000
7102263101402602000
oct6740162575256000
91160271708036600
10244106982153216
117086420a62a146
122346569a500000
13a6292608593c0
14443cbab8d2000
151d34bb1e420e6
hexde0395f55c00

244106982153216 has 4224 divisors, whose sum is σ = 974186387865600. Its totient is φ = 60573671424000.

The previous prime is 244106982153211. The next prime is 244106982153239. The reversal of 244106982153216 is 612351289601442.

244106982153216 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 0 + 6 + 98 + 2 + 1 + 532 + 16 = 666.

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 (244106982153211) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1616602530741 + ... + 1616602530891.

Almost surely, 2244106982153216 is an apocalyptic number.

244106982153216 is a gapful number since it is divisible by the number (26) 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 244106982153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487093193932800).

244106982153216 is an abundant number, since it is smaller than the sum of its proper divisors (730079405712384).

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

244106982153216 is a wasteful number, since it uses less digits than its factorization.

244106982153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 244106982153216 in words is "two hundred forty-four trillion, one hundred six billion, nine hundred eighty-two million, one hundred fifty-three thousand, two hundred sixteen".