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1161432664 = 237374871151
BaseRepresentation
bin100010100111010…
…0000111001011000
32222221102220002121
41011032200321120
54334311321124
6311125311024
740532005030
oct10516407130
92887386077
101161432664
11546664607
12284b65474
1315680ca82
14b03708c0
156be6d2e4
hex453a0e58

1161432664 has 64 divisors (see below), whose sum is σ = 2563522560. Its totient is φ = 482889600.

The previous prime is 1161432661. The next prime is 1161432683. The reversal of 1161432664 is 4662341611.

It is a super-2 number, since 2×11614326642 = 2697851666012273792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161432661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008489 + ... + 1009639.

It is an arithmetic number, because the mean of its divisors is an integer number (40055040).

Almost surely, 21161432664 is an apocalyptic number.

1161432664 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 1161432664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281761280).

1161432664 is an abundant number, since it is smaller than the sum of its proper divisors (1402089896).

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

1161432664 is a wasteful number, since it uses less digits than its factorization.

1161432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1684 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 1161432664 is about 34079.7984735826. The cubic root of 1161432664 is about 1051.1499612653.

The spelling of 1161432664 in words is "one billion, one hundred sixty-one million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 487 518 974 1036 1151 1948 2072 2302 3409 3896 4604 6818 8057 9208 13636 16114 18019 27272 32228 36038 42587 64456 72076 85174 126133 144152 170348 252266 298109 340696 504532 560537 596218 1009064 1121074 1192436 2242148 2384872 3923759 4484296 7847518 15695036 20739869 31390072 41479738 82959476 145179083 165918952 290358166 580716332 1161432664