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1157985664 = 2711822433
BaseRepresentation
bin100010100000101…
…0111010110000000
32222200221202200221
41011001113112000
54332421020124
6310523352424
740460500333
oct10501272600
92880852627
101157985664
1154471a850
12283982714
13155ba3b24
14adb1461a
156b9dbce4
hex45057580

1157985664 has 32 divisors (see below), whose sum is σ = 2516648040. Its totient is φ = 526356480.

The previous prime is 1157985649. The next prime is 1157985667. The reversal of 1157985664 is 4665897511.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157985667) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 409809 + ... + 412624.

Almost surely, 21157985664 is an apocalyptic number.

It is an amenable number.

1157985664 is an abundant number, since it is smaller than the sum of its proper divisors (1358662376).

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

1157985664 is an equidigital number, since it uses as much as digits as its factorization.

1157985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822458 (or 822446 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 52.

The square root of 1157985664 is about 34029.1884123028. The cubic root of 1157985664 is about 1050.1090329708.

The spelling of 1157985664 in words is "one billion, one hundred fifty-seven million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 822433 1644866 3289732 6579464 9046763 13158928 18093526 26317856 36187052 52635712 72374104 105271424 144748208 289496416 578992832 1157985664