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1161453664 = 25726112143
BaseRepresentation
bin100010100111010…
…0110000001100000
32222221110221220101
41011032212001200
54334313004124
6311125552144
740532123200
oct10516460140
92887427811
101161453664
11546679368
12284b75654
131568194b7
14b0378400
156be74644
hex453a6060

1161453664 has 72 divisors (see below), whose sum is σ = 2703764448. Its totient is φ = 489565440.

The previous prime is 1161453637. The next prime is 1161453677. The reversal of 1161453664 is 4663541611.

It is a super-2 number, since 2×11614536642 = 2697949227238049792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89577 + ... + 101719.

It is an arithmetic number, because the mean of its divisors is an integer number (37552284).

Almost surely, 21161453664 is an apocalyptic number.

1161453664 is a gapful number since it is divisible by the number (14) 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 1161453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351882224).

1161453664 is an abundant number, since it is smaller than the sum of its proper divisors (1542310784).

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

1161453664 is a wasteful number, since it uses less digits than its factorization.

1161453664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228 (or 12213 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 1161453664 is about 34080.1065726033. The cubic root of 1161453664 is about 1051.1562965489.

The spelling of 1161453664 in words is "one billion, one hundred sixty-one million, four hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3416 5978 6832 11956 12143 13664 23912 24286 47824 48572 85001 95648 97144 170002 194288 340004 388576 595007 680008 740723 1190014 1360016 1481446 2380028 2720032 2962892 4760056 5185061 5925784 9520112 10370122 11851568 19040224 20740244 23703136 36295427 41480488 72590854 82960976 145181708 165921952 290363416 580726832 1161453664