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197630081865216 = 2932711213171931389
BaseRepresentation
bin101100111011111001010110…
…110100111001011000000000
3221220202020210012112220221200
4230323321112310321120000
5201400432401424141331
61540154001203021200
756425205443456410
oct5473712664713000
9856666705486850
10197630081865216
1157a754a1009800
121a1ba04a66a800
13863758a715930
1436b34c024a640
1517cac2a5b35e6
hexb3be56d39600

197630081865216 has 5760 divisors, whose sum is σ = 890032234291200. Its totient is φ = 40781375078400.

The previous prime is 197630081865187. The next prime is 197630081865217. The reversal of 197630081865216 is 612568180036791.

197630081865216 is a `hidden beast` number, since 1 + 9 + 76 + 30 + 0 + 8 + 1 + 8 + 6 + 521 + 6 = 666.

197630081865216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197630081865217) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 508046482750 + ... + 508046483138.

It is an arithmetic number, because the mean of its divisors is an integer number (154519485120).

Almost surely, 2197630081865216 is an apocalyptic number.

197630081865216 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 197630081865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445016117145600).

197630081865216 is an abundant number, since it is smaller than the sum of its proper divisors (692402152425984).

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

197630081865216 is a wasteful number, since it uses less digits than its factorization.

197630081865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 197630081865216 in words is "one hundred ninety-seven trillion, six hundred thirty billion, eighty-one million, eight hundred sixty-five thousand, two hundred sixteen".