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1135431648 = 253313101089
BaseRepresentation
bin100001110101101…
…0100111111100000
32221010111220102000
41003223110333200
54311132303043
6304400124000
740065003231
oct10353247740
92833456360
101135431648
11532a1566a
12278306600
13151308060
14aab23088
1569a342d3
hex43ad4fe0

1135431648 has 96 divisors (see below), whose sum is σ = 3566455200. Its totient is φ = 349360128.

The previous prime is 1135431631. The next prime is 1135431653. The reversal of 1135431648 is 8461345311.

1135431648 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39313 + ... + 61776.

It is an arithmetic number, because the mean of its divisors is an integer number (37150575).

Almost surely, 21135431648 is an apocalyptic number.

1135431648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1135431648 is an abundant number, since it is smaller than the sum of its proper divisors (2431023552).

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

1135431648 is a wasteful number, since it uses less digits than its factorization.

1135431648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101121 (or 101107 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1135431648 is about 33696.1666662545. The cubic root of 1135431648 is about 1043.2466490080.

Adding to 1135431648 its reverse (8461345311), we get a palindrome (9596776959).

The spelling of 1135431648 in words is "one billion, one hundred thirty-five million, four hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 101089 202178 303267 404356 606534 808712 909801 1213068 1314157 1617424 1819602 2426136 2628314 2729403 3234848 3639204 3942471 4852272 5256628 5458806 7278408 7884942 9704544 10513256 10917612 11827413 14556816 15769884 21026512 21835224 23654826 29113632 31539768 35482239 42053024 43670448 47309652 63079536 70964478 87340896 94619304 126159072 141928956 189238608 283857912 378477216 567715824 1135431648