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1157556664 = 231127915137
BaseRepresentation
bin100010011111110…
…1110100110111000
32222200010222020001
41010333232212320
54332313303124
6310510242344
740454032525
oct10477564670
92880128201
101157556664
11544457500
122837b63b4
13155a83794
14ada4214c
156b954b44
hex44fee9b8

1157556664 has 48 divisors (see below), whose sum is σ = 2416024800. Its totient is φ = 519467520.

The previous prime is 1157556661. The next prime is 1157556671. The reversal of 1157556664 is 4666557511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157556661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68904 + ... + 84040.

It is an arithmetic number, because the mean of its divisors is an integer number (50333850).

Almost surely, 21157556664 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 1157556664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208012400).

1157556664 is an abundant number, since it is smaller than the sum of its proper divisors (1258468136).

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

1157556664 is a wasteful number, since it uses less digits than its factorization.

1157556664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15229 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The square root of 1157556664 is about 34022.8844162279. The cubic root of 1157556664 is about 1049.9793386713.

The spelling of 1157556664 in words is "one billion, one hundred fifty-seven million, five hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 79 88 121 158 242 316 484 632 869 968 1738 3476 6952 9559 15137 19118 30274 38236 60548 76472 121096 166507 333014 666028 1195823 1332056 1831577 2391646 3663154 4783292 7326308 9566584 13154053 14652616 26308106 52616212 105232424 144694583 289389166 578778332 1157556664