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197478752552640 = 263351323163468973
BaseRepresentation
bin101100111001101100011010…
…111001011000011011000000
3221220012210011210202100001000
4230321230122321120123000
5201340442441123141030
61540000253030412000
756411240403521316
oct5471543271303300
9856183153670030
10197478752552640
1157a172a5612419
121a194856801000
1386262219373b0
1436aa0461080b6
1517c6d1ee53860
hexb39b1ae586c0

197478752552640 has 896 divisors, whose sum is σ = 787674623662080. Its totient is φ = 46211315318784.

The previous prime is 197478752552579. The next prime is 197478752552651. The reversal of 197478752552640 is 46255257874791.

197478752552640 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 7 + 8 + 7 + 5 + 2 + 552 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 420853194 + ... + 421322166.

It is an arithmetic number, because the mean of its divisors is an integer number (879101142480).

Almost surely, 2197478752552640 is an apocalyptic number.

197478752552640 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 197478752552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393837311831040).

197478752552640 is an abundant number, since it is smaller than the sum of its proper divisors (590195871109440).

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

197478752552640 is a wasteful number, since it uses less digits than its factorization.

197478752552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469198 (or 469182 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 197478752552640 in words is "one hundred ninety-seven trillion, four hundred seventy-eight billion, seven hundred fifty-two million, five hundred fifty-two thousand, six hundred forty".