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197958053568 = 26311376833709
BaseRepresentation
bin1011100001011100111…
…0000010111011000000
3200220222001000001120210
42320113032002323000
511220404230203233
6230535104034120
720205404456262
oct2702716027300
9626861001523
10197958053568
1176a54184670
1232447902940
131588a279352
14981cc27b32
155239078163
hex2e17382ec0

197958053568 has 224 divisors, whose sum is σ = 587839230720. Its totient is φ = 58264842240.

The previous prime is 197958053551. The next prime is 197958053599. The reversal of 197958053568 is 865350859791.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 197958053499 and 197958053508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53370498 + ... + 53374206.

It is an arithmetic number, because the mean of its divisors is an integer number (2624282280).

Almost surely, 2197958053568 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 197958053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293919615360).

197958053568 is an abundant number, since it is smaller than the sum of its proper divisors (389881177152).

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

197958053568 is a wasteful number, since it uses less digits than its factorization.

197958053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 66.

The spelling of 197958053568 in words is "one hundred ninety-seven billion, nine hundred fifty-eight million, fifty-three thousand, five hundred sixty-eight".