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1316253696 = 2123176301
BaseRepresentation
bin100111001110100…
…0111000000000000
310101201202121121220
41032131013000000
510143430104241
6334335515040
744421654222
oct11635070000
93351677556
101316253696
11615a9997a
12308988a80
1317c909154
14c6b52412
157a851166
hex4e747000

1316253696 has 104 divisors (see below), whose sum is σ = 3716617104. Its totient is φ = 412876800.

The previous prime is 1316253691. The next prime is 1316253733. The reversal of 1316253696 is 6963526131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316253691) 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 7 ways as a sum of consecutive naturals, for example, 205746 + ... + 212046.

Almost surely, 21316253696 is an apocalyptic number.

1316253696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858308552).

1316253696 is an abundant number, since it is smaller than the sum of its proper divisors (2400363408).

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

1316253696 is an equidigital number, since it uses as much as digits as its factorization.

1316253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6323 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 1316253696 is about 36280.2108042387. The cubic root of 1316253696 is about 1095.9225618827.

The spelling of 1316253696 in words is "one billion, three hundred sixteen million, two hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6301 6528 8704 12288 12602 13056 17408 18903 25204 26112 34816 37806 50408 52224 69632 75612 100816 104448 107117 151224 201632 208896 214234 302448 321351 403264 428468 604896 642702 806528 856936 1209792 1285404 1613056 1713872 2419584 2570808 3226112 3427744 4839168 5141616 6452224 6855488 9678336 10283232 12904448 13710976 19356672 20566464 25808896 27421952 38713344 41132928 54843904 77426688 82265856 109687808 164531712 219375616 329063424 438751232 658126848 1316253696