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1641431152 = 243128111777
BaseRepresentation
bin110000111010110…
…0100000001110000
311020101122100020101
41201311210001300
511330201244102
6430513322144
755450635364
oct14165440160
94211570211
101641431152
117725aa579
12399866354
132020b0b4a
14117ddb2a4
1599184e87
hex61d64070

1641431152 has 40 divisors (see below), whose sum is σ = 3294824832. Its totient is φ = 791347200.

The previous prime is 1641431101. The next prime is 1641431159. The reversal of 1641431152 is 2511341461.

It is a self number, because there is not a number n which added to its sum of digits gives 1641431152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641431159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133488 + ... + 145264.

Almost surely, 21641431152 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 1641431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647412416).

1641431152 is an abundant number, since it is smaller than the sum of its proper divisors (1653393680).

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

1641431152 is a wasteful number, since it uses less digits than its factorization.

1641431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12097 (or 12091 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 1641431152 is about 40514.5794992371. The cubic root of 1641431152 is about 1179.6166407648.

The spelling of 1641431152 in words is "one billion, six hundred forty-one million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 248 281 496 562 1124 2248 4496 8711 11777 17422 23554 34844 47108 69688 94216 139376 188432 365087 730174 1460348 2920696 3309337 5841392 6618674 13237348 26474696 52949392 102589447 205178894 410357788 820715576 1641431152