Search a number
-
+
163610213344056 = 23324549674994569
BaseRepresentation
bin100101001100110101111000…
…101001011110001100111000
3210110021222120002001000100100
4211030311320221132030320
5132421042204104002211
61335545254442235400
746314306415320303
oct4514657051361470
9713258502030310
10163610213344056
114814977a13a066
12164249094b5b60
13703a4b9118c7b
142c58ac2d01b3a
1513dad253d5156
hex94cd78a5e338

163610213344056 has 48 divisors (see below), whose sum is σ = 443112057133200. Its totient is φ = 54536606992512.

The previous prime is 163610213344033. The next prime is 163610213344079. The reversal of 163610213344056 is 650443312016361.

163610213344056 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 102 + 133 + 4 + 405 + 6 = 666.

163610213344056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163610213344033) and next prime (163610213344079).

It is a super-2 number, since 2×1636102133440562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30260340 + ... + 35254908.

It is an arithmetic number, because the mean of its divisors is an integer number (9231501190275).

Almost surely, 2163610213344056 is an apocalyptic number.

It is an amenable number.

163610213344056 is an abundant number, since it is smaller than the sum of its proper divisors (279501843789144).

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

163610213344056 is a wasteful number, since it uses less digits than its factorization.

163610213344056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449548 (or 5449541 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 163610213344056 in words is "one hundred sixty-three trillion, six hundred ten billion, two hundred thirteen million, three hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 454967 909934 1364901 1819868 2729802 3639736 4094703 4994569 5459604 8189406 9989138 10919208 14983707 16378812 19978276 29967414 32757624 39956552 44951121 59934828 89902242 119869656 179804484 359608968 2272364074223 4544728148446 6817092222669 9089456296892 13634184445338 18178912593784 20451276668007 27268368890676 40902553336014 54536737781352 81805106672028 163610213344056