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31636144020 = 22351370157859
BaseRepresentation
bin11101011101101010…
…010011111110010100
310000122202222122000210
4131131222103332110
51004242323102040
622311120205420
72166654534015
oct353552237624
9100582878023
1031636144020
1112464862278
12616aa69870
132ca2344560
14176186b00c
15c525b7480
hex75da93f94

31636144020 has 96 divisors (see below), whose sum is σ = 95532877440. Its totient is φ = 7776115200.

The previous prime is 31636144019. The next prime is 31636144021. The reversal of 31636144020 is 2044163613.

It is an interprime number because it is at equal distance from previous prime (31636144019) and next prime (31636144021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31636144021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517851 + ... + 575709.

It is an arithmetic number, because the mean of its divisors is an integer number (995134140).

Almost surely, 231636144020 is an apocalyptic number.

31636144020 is a gapful number since it is divisible by the number (30) 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 31636144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47766438720).

31636144020 is an abundant number, since it is smaller than the sum of its proper divisors (63896733420).

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

31636144020 is a wasteful number, since it uses less digits than its factorization.

31636144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58585 (or 58583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 31636144020 in words is "thirty-one billion, six hundred thirty-six million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 701 780 1402 2103 2804 3505 4206 7010 8412 9113 10515 14020 18226 21030 27339 36452 42060 45565 54678 57859 91130 109356 115718 136695 173577 182260 231436 273390 289295 347154 546780 578590 694308 752167 867885 1157180 1504334 1735770 2256501 3008668 3471540 3760835 4513002 7521670 9026004 11282505 15043340 22565010 40559159 45130020 81118318 121677477 162236636 202795795 243354954 405591590 486709908 527269067 608387385 811183180 1054538134 1216774770 1581807201 2109076268 2433549540 2636345335 3163614402 5272690670 6327228804 7909036005 10545381340 15818072010 31636144020