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141896055168 = 27327179197499
BaseRepresentation
bin1000010000100110101…
…0011111100110000000
3111120020222110110110200
42010021222133212000
54311100342231133
6145104112525200
713152213365640
oct2041152374600
9446228413420
10141896055168
11551a569548a
1223600850800
13104c464412a
146c2138a520
153a57400913
hex2109a9f980

141896055168 has 384 divisors, whose sum is σ = 472586400000. Its totient is φ = 40030212096.

The previous prime is 141896055157. The next prime is 141896055181. The reversal of 141896055168 is 861550698141.

141896055168 is a `hidden beast` number, since 1 + 4 + 1 + 89 + 6 + 0 + 551 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 284360583 + ... + 284361081.

It is an arithmetic number, because the mean of its divisors is an integer number (1230693750).

Almost surely, 2141896055168 is an apocalyptic number.

141896055168 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 141896055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236293200000).

141896055168 is an abundant number, since it is smaller than the sum of its proper divisors (330690344832).

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

141896055168 is a wasteful number, since it uses less digits than its factorization.

141896055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 141896055168 in words is "one hundred forty-one billion, eight hundred ninety-six million, fifty-five thousand, one hundred sixty-eight".