Search a number
-
+
199476053568 = 26341117347593
BaseRepresentation
bin1011100111000110110…
…0110000011001000000
3201001212211101110010000
42321301230300121000
511232011332203233
6231345452040000
720261126323251
oct2716154603100
9631784343100
10199476053568
1177663039520
12327b0163000
1315a6c9015bc
149924694b28
1552c747ad13
hex2e71b30640

199476053568 has 560 divisors, whose sum is σ = 686133353664. Its totient is φ = 56631951360.

The previous prime is 199476053507. The next prime is 199476053611. The reversal of 199476053568 is 865350674991.

199476053568 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 7 + 60 + 5 + 3 + 568 = 666.

It is a super-3 number, since 3×1994760535683 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 336384280 + ... + 336384872.

Almost surely, 2199476053568 is an apocalyptic number.

199476053568 is a gapful number since it is divisible by the number (18) 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 199476053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343066676832).

199476053568 is an abundant number, since it is smaller than the sum of its proper divisors (486657300096).

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

199476053568 is a wasteful number, since it uses less digits than its factorization.

199476053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 199476053568 in words is "one hundred ninety-nine billion, four hundred seventy-six million, fifty-three thousand, five hundred sixty-eight".