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1328496101244 = 2232132659331349
BaseRepresentation
bin10011010101010000100…
…010011100011101111100
311201000002011210101100100
4103111100202130131330
5133231230000214434
62454145214001100
7164660241353634
oct23252042343574
94630064711310
101328496101244
11472459462894
1219557a7a6190
1398379a33800
1448429d976c4
15248559d4699
hex1355089c77c

1328496101244 has 108 divisors (see below), whose sum is σ = 3641861223000. Its totient is φ = 408146514048.

The previous prime is 1328496101243. The next prime is 1328496101287. The reversal of 1328496101244 is 4421016948231.

1328496101244 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 9 + 610 + 1 + 24 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1328496101244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328496101243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3843682 + ... + 4175030.

It is an arithmetic number, because the mean of its divisors is an integer number (33720937250).

Almost surely, 21328496101244 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 1328496101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820930611500).

1328496101244 is an abundant number, since it is smaller than the sum of its proper divisors (2313365121756).

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

1328496101244 is a wasteful number, since it uses less digits than its factorization.

1328496101244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332044 (or 332026 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1328496101244 in words is "one trillion, three hundred twenty-eight billion, four hundred ninety-six million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 659 676 1014 1318 1521 1977 2028 2636 3042 3954 5931 6084 7908 8567 11862 17134 23724 25701 34268 51402 77103 102804 111371 154206 222742 308412 331349 334113 445484 662698 668226 994047 1002339 1325396 1336452 1988094 2004678 2982141 3976188 4009356 4307537 5964282 8615074 11928564 12922611 17230148 25845222 38767833 51690444 55997981 77535666 111995962 155071332 167993943 218358991 223991924 335987886 436717982 503981829 655076973 671975772 873435964 1007963658 1310153946 1965230919 2015927316 2620307892 2838666883 3930461838 5677333766 7860923676 8516000649 11354667532 17032001298 25548001947 34064002596 36902669479 51096003894 73805338958 102192007788 110708008437 147610677916 221416016874 332124025311 442832033748 664248050622 1328496101244