Search a number
-
+
160103978496 = 293271121719127
BaseRepresentation
bin1001010100011011110…
…0001101011000000000
3120022020220212210200100
42111012330031120000
510110343104302441
6201314543522400
714365345235340
oct2250674153000
9508226783610
10160103978496
1161999581800
12270425b9400
1312136974267
147a6b65cd20
154270b7acb6
hex2546f0d600

160103978496 has 1440 divisors, whose sum is σ = 652038266880. Its totient is φ = 36787322880.

The previous prime is 160103978449. The next prime is 160103978521. The reversal of 160103978496 is 694879301061.

160103978496 is a `hidden beast` number, since 1 + 60 + 1 + 0 + 3 + 97 + 8 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1260661185 + ... + 1260661311.

It is an arithmetic number, because the mean of its divisors is an integer number (452804352).

Almost surely, 2160103978496 is an apocalyptic number.

160103978496 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 160103978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326019133440).

160103978496 is an abundant number, since it is smaller than the sum of its proper divisors (491934288384).

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

160103978496 is a wasteful number, since it uses less digits than its factorization.

160103978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 160103978496 in words is "one hundred sixty billion, one hundred three million, nine hundred seventy-eight thousand, four hundred ninety-six".