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16367364225 = 345228432
BaseRepresentation
bin11110011111001001…
…00010100010000001
31120020200002020210000
433033210202202001
5232010021123400
611304041230213
71116412205022
oct171744424201
946220066700
1016367364225
116a39a4aaa3
123209492369
13170ac0bc04
14b13a7cc49
1565bdae600
hex3cf922881

16367364225 has 45 divisors (see below), whose sum is σ = 30328684243. Its totient is φ = 8726190480.

The previous prime is 16367364217. The next prime is 16367364253. The reversal of 16367364225 is 52246376361.

The square root of 16367364225 is 127935.

It is a perfect power (a square), and thus also a powerful number.

16367364225 is a `hidden beast` number, since 1 + 6 + 3 + 67 + 364 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5892251121 + 10475113104 = 76761^2 + 102348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 16367364225 - 23 = 16367364217 is a prime.

It is a super-2 number, since 2×163673642252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5755654 + ... + 5758496.

Almost surely, 216367364225 is an apocalyptic number.

16367364225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16367364225 is the 127935-th square number.

16367364225 is the 63968-th centered octagonal number.

It is an amenable number.

16367364225 is a deficient number, since it is larger than the sum of its proper divisors (13961320018).

16367364225 is an frugal number, since it uses more digits than its factorization.

16367364225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 2851 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

It can be divided in two parts, 1636736 and 4225, that added together give a square (1640961 = 12812).

The spelling of 16367364225 in words is "sixteen billion, three hundred sixty-seven million, three hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2843 8529 14215 25587 42645 71075 76761 127935 213225 230283 383805 639675 1151415 1919025 5757075 8082649 24247947 40413245 72743841 121239735 202066225 218231523 363719205 606198675 654694569 1091157615 1818596025 3273472845 5455788075 16367364225