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1316326464 = 2634318191
BaseRepresentation
bin100111001110101…
…1000110001000000
310101201220022110000
41032131120301000
510143434421324
6334341240000
744422406325
oct11635306100
93351808400
101316326464
11616039612
12308a03000
1317c9332cb
14c6b70b4c
157a8679c9
hex4e758c40

1316326464 has 140 divisors (see below), whose sum is σ = 4028366848. Its totient is φ = 424569600.

The previous prime is 1316326463. The next prime is 1316326469. The reversal of 1316326464 is 4646236131.

1316326464 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 3 + 2 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1316326463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156609 + ... + 164799.

Almost surely, 21316326464 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 1316326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014183424).

1316326464 is an abundant number, since it is smaller than the sum of its proper divisors (2712040384).

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

1316326464 is an equidigital number, since it uses as much as digits as its factorization.

1316326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8227 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 1316326464 is about 36281.2136511446. The cubic root of 1316326464 is about 1095.9427572355.

The spelling of 1316326464 in words is "one billion, three hundred sixteen million, three hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8191 8928 10044 13392 16382 17856 20088 24573 26784 32764 40176 49146 53568 65528 73719 80352 98292 131056 147438 160704 196584 221157 253921 262112 294876 393168 442314 507842 524224 589752 663471 761763 786336 884628 1015684 1179504 1326942 1523526 1572672 1769256 2031368 2285289 2359008 2653884 3047052 3538512 4062736 4570578 4718016 5307768 6094104 6855867 7077024 8125472 9141156 10615536 12188208 13711734 14154048 16250944 18282312 20567601 21231072 24376416 27423468 36564624 41135202 42462144 48752832 54846936 73129248 82270404 109693872 146258496 164540808 219387744 329081616 438775488 658163232 1316326464