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20365331316 = 22311297967343
BaseRepresentation
bin10010111101110111…
…100100101101110100
31221120021222000121020
4102331313210231310
5313202011100231
613204455421140
71320446313531
oct227567445564
957507860536
1020365331316
118700775930
123b443847b0
131bc729b205
14db2a23d88
157e2d82396
hex4bdde4b74

20365331316 has 96 divisors (see below), whose sum is σ = 54306201600. Its totient is φ = 5882997120.

The previous prime is 20365331299. The next prime is 20365331321. The reversal of 20365331316 is 61313356302.

It is a happy number.

It is a super-2 number, since 2×203653313162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268741 + ... + 336083.

It is an arithmetic number, because the mean of its divisors is an integer number (565689600).

Almost surely, 220365331316 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 20365331316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27153100800).

20365331316 is an abundant number, since it is smaller than the sum of its proper divisors (33940870284).

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

20365331316 is a wasteful number, since it uses less digits than its factorization.

20365331316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67469 (or 67467 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 20365331316 its reverse (61313356302), we get a palindrome (81678687618).

The spelling of 20365331316 in words is "twenty billion, three hundred sixty-five million, three hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 79 87 116 132 158 174 237 316 319 348 474 638 869 948 957 1276 1738 1914 2291 2607 3476 3828 4582 5214 6873 9164 10428 13746 25201 27492 50402 67343 75603 100804 134686 151206 202029 269372 302412 404058 740773 808116 1481546 1952947 2222319 2963092 3905894 4444638 5320097 5858841 7811788 8889276 10640194 11717682 15960291 21280388 21482417 23435364 31920582 42964834 58521067 63841164 64447251 85929668 117042134 128894502 154282813 175563201 234084268 257789004 308565626 351126402 462848439 617131252 702252804 925696878 1697110943 1851393756 3394221886 5091332829 6788443772 10182665658 20365331316