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197485340976 = 243371122937503
BaseRepresentation
bin1011011111101100001…
…0110010100100110000
3200212202002111202211000
42313323002302210300
511213422221402401
6230420140122000
720160604462410
oct2677302624460
9625662452730
10197485340976
1176831365700
1232335536300
1315813359661
1497b6136640
15520c800186
hex2dfb0b2930

197485340976 has 960 divisors, whose sum is σ = 758051481600. Its totient is φ = 48091760640.

The previous prime is 197485340959. The next prime is 197485340989. The reversal of 197485340976 is 679043584791.

197485340976 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 8 + 534 + 0 + 97 + 6 = 666.

197485340976 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 392614741 + ... + 392615243.

It is an arithmetic number, because the mean of its divisors is an integer number (789636960).

Almost surely, 2197485340976 is an apocalyptic number.

197485340976 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 197485340976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379025740800).

197485340976 is an abundant number, since it is smaller than the sum of its proper divisors (560566140624).

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

197485340976 is a wasteful number, since it uses less digits than its factorization.

197485340976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 197485340976 in words is "one hundred ninety-seven billion, four hundred eighty-five million, three hundred forty thousand, nine hundred seventy-six".