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197435280952 = 237313172111543
BaseRepresentation
bin1011011111100000001…
…1110100111000111000
3200212121121022110101001
42313320003310320320
511213321412442302
6230411151134344
720156426125000
oct2677003647070
9625547273331
10197435280952
1176806083888
12323208143b4
1315805b7cb40
1497ad625000
155208212787
hex2df80f4e38

197435280952 has 256 divisors, whose sum is σ = 494919936000. Its totient is φ = 73115965440.

The previous prime is 197435280949. The next prime is 197435280979. The reversal of 197435280952 is 259082534791.

It is a junction number, because it is equal to n+sod(n) for n = 197435280893 and 197435280902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127954693 + ... + 127956235.

It is an arithmetic number, because the mean of its divisors is an integer number (1933281000).

Almost surely, 2197435280952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197435280952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247459968000).

197435280952 is an abundant number, since it is smaller than the sum of its proper divisors (297484655048).

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

197435280952 is a wasteful number, since it uses less digits than its factorization.

197435280952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 197435280952 in words is "one hundred ninety-seven billion, four hundred thirty-five million, two hundred eighty thousand, nine hundred fifty-two".