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196970780160 = 29335721117311
BaseRepresentation
bin1011011101110001011…
…1111001011000000000
3200211102020021101002000
42313130113321120000
511211344004431120
6230253115224000
720142056002200
oct2673427713000
9624366241060
10196970780160
1176597963530
1232211148000
1315760876abb
149767a70400
1551cc55c990
hex2ddc5f9600

196970780160 has 1920 divisors, whose sum is σ = 943126778880. Its totient is φ = 38397542400.

The previous prime is 196970780117. The next prime is 196970780183. The reversal of 196970780160 is 61087079691.

196970780160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 196970780097 and 196970780106.

It is a congruent number.

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, 633346405 + ... + 633346715.

It is an arithmetic number, because the mean of its divisors is an integer number (491211864).

Almost surely, 2196970780160 is an apocalyptic number.

196970780160 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 196970780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471563389440).

196970780160 is an abundant number, since it is smaller than the sum of its proper divisors (746155998720).

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

196970780160 is a wasteful number, since it uses less digits than its factorization.

196970780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 196970780160 in words is "one hundred ninety-six billion, nine hundred seventy million, seven hundred eighty thousand, one hundred sixty".