Search a number
-
+
161616149352 = 23327320666963
BaseRepresentation
bin1001011010000100010…
…0101011101101101000
3120110011022022001010100
42112201010223231220
510121442213234402
6202125002545400
714450666413620
oct2264104535550
9513138261110
10161616149352
11625a5115089
12273a4b08260
1312318038208
147b7240d880
15430d7cb71c
hex25a112bb68

161616149352 has 48 divisors (see below), whose sum is σ = 500240463840. Its totient is φ = 46176042528.

The previous prime is 161616149347. The next prime is 161616149381. The reversal of 161616149352 is 253941616161.

161616149352 is a `hidden beast` number, since 1 + 616 + 16 + 14 + 9 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1616161493522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161616149298 and 161616149307.

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 11 ways as a sum of consecutive naturals, for example, 160332978 + ... + 160333985.

It is an arithmetic number, because the mean of its divisors is an integer number (10421676330).

Almost surely, 2161616149352 is an apocalyptic number.

161616149352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161616149352 is an abundant number, since it is smaller than the sum of its proper divisors (338624314488).

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

161616149352 is a wasteful number, since it uses less digits than its factorization.

161616149352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320666982 (or 320666975 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 161616149352 in words is "one hundred sixty-one billion, six hundred sixteen million, one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 320666963 641333926 962000889 1282667852 1924001778 2244668741 2565335704 2886002667 3848003556 4489337482 5772005334 6734006223 7696007112 8978674964 11544010668 13468012446 17957349928 20202018669 23088021336 26936024892 40404037338 53872049784 80808074676 161616149352