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20445215541044 = 227223411011095223
BaseRepresentation
bin1001010011000010001011…
…10011110100011100110100
32200101112200020001100102212
410221201011303310130310
510134433300134303134
6111252222524152552
74210055333463500
oct451410563643464
980345606040385
1020445215541044
116572849192678
122362505398758
13b53c8b39c198
145097a7559300
15256c61096bce
hex129845cf4734

20445215541044 has 144 divisors (see below), whose sum is σ = 44930013762816. Its totient is φ = 8095881024000.

The previous prime is 20445215540983. The next prime is 20445215541059. The reversal of 20445215541044 is 44014551254402.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 20445215540992 and 20445215541010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18120017 + ... + 19215239.

It is an arithmetic number, because the mean of its divisors is an integer number (312013984464).

Almost surely, 220445215541044 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 20445215541044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465006881408).

20445215541044 is an abundant number, since it is smaller than the sum of its proper divisors (24484798221772).

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

20445215541044 is a wasteful number, since it uses less digits than its factorization.

20445215541044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095406 (or 1095397 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 41.

Adding to 20445215541044 its reverse (44014551254402), we get a palindrome (64459766795446).

The spelling of 20445215541044 in words is "twenty trillion, four hundred forty-five billion, two hundred fifteen million, five hundred forty-one thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 101 161 164 196 202 287 322 404 574 644 707 943 1127 1148 1414 1886 2009 2254 2323 2828 3772 4018 4141 4508 4646 4949 6601 8036 8282 9292 9898 13202 16261 16564 19796 26404 28987 32522 46207 57974 65044 92414 95243 113827 115948 184828 190486 202909 227654 380972 405818 455308 666701 811636 1095223 1333402 2190446 2666804 4380892 4666907 7666561 9333814 15333122 18667628 25190129 30666244 44904143 50380258 53665927 89808286 100760516 107331854 110617523 176330903 179616572 214663708 221235046 314329001 352661806 442470092 628658002 705323612 774322661 1032795289 1234316321 1257316004 1548645322 2065590578 2200303007 2468632642 2544203029 3097290644 4131181156 4400606014 4535318443 4937265284 5088406058 5420258627 7229567023 8801212028 9070636886 10176812116 10840517254 14459134046 17809421203 18141273772 21681034508 28918268092 31747229101 35618842406 50606969161 63494458202 71237684812 101213938322 104312324189 124665948421 126988916404 202427876644 208624648378 222230603707 249331896842 417249296756 444461207414 498663793684 730186269323 888922414828 1460372538646 2920745077292 5111303885261 10222607770522 20445215541044