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1116148464 = 243317192421
BaseRepresentation
bin100001010000111…
…0001001011110000
32212210020012212000
41002201301023300
54241213222324
6302430534000
736442051104
oct10241611360
92783205760
101116148464
11523044952
12271967300
1314a315ca2
14a8343904
1567ec59c9
hex428712f0

1116148464 has 240 divisors, whose sum is σ = 3588654240. Its totient is φ = 330946560.

The previous prime is 1116148409. The next prime is 1116148469. The reversal of 1116148464 is 4648416111.

It is a happy number.

1116148464 is a `hidden beast` number, since 1 + 116 + 1 + 484 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116148469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650974 + ... + 2651394.

It is an arithmetic number, because the mean of its divisors is an integer number (14952726).

Almost surely, 21116148464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794327120).

1116148464 is an abundant number, since it is smaller than the sum of its proper divisors (2472505776).

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

1116148464 is a wasteful number, since it uses less digits than its factorization.

1116148464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 462 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1116148464 is about 33408.8081798797. The cubic root of 1116148464 is about 1037.3070318813.

The spelling of 1116148464 in words is "one billion, one hundred sixteen million, one hundred forty-eight thousand, four hundred sixty-four".