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20445220004010 = 235231311223918481
BaseRepresentation
bin1001010011000010001100…
…00100110110000010101010
32200101112200112110002110220
410221201012010312002222
510134433302310112020
6111252223203550510
74210055416432164
oct451410604660252
980345615402426
1020445220004010
11657285076077a
12236250698b436
13b53c8c2a26a9
145097a7d9b934
15256c61679240
hex1298461360aa

20445220004010 has 128 divisors (see below), whose sum is σ = 51599804129280. Its totient is φ = 5174500531200.

The previous prime is 20445220003951. The next prime is 20445220004059. The reversal of 20445220004010 is 1040002254402.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106273970 + ... + 1106292450.

It is an arithmetic number, because the mean of its divisors is an integer number (403123469760).

Almost surely, 220445220004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20445220004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799902064640).

20445220004010 is an abundant number, since it is smaller than the sum of its proper divisors (31154584125270).

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

20445220004010 is a wasteful number, since it uses less digits than its factorization.

20445220004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30884.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20445220004010 its reverse (1040002254402), we get a palindrome (21485222258412).

The spelling of 20445220004010 in words is "twenty trillion, four hundred forty-five billion, two hundred twenty million, four thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 131 138 230 262 345 393 655 690 786 1310 1965 3013 3930 6026 9039 12239 15065 18078 18481 24478 30130 36717 36962 45195 55443 61195 73434 90390 92405 110886 122390 183585 184810 277215 281497 367170 425063 554430 562994 844491 850126 1275189 1407485 1603309 1688982 2125315 2421011 2550378 2814970 3206618 4222455 4250630 4809927 4842022 6375945 7263033 8016545 8444910 9619854 12105055 12751890 14526066 16033090 24049635 24210110 36315165 36876107 48099270 55683253 72630330 73752214 110628321 111366506 167049759 184380535 221256642 226188959 278416265 334099518 368761070 452377918 553141605 556832530 678566877 835248795 1106283210 1130944795 1357133754 1670497590 2261889590 3392834385 5202346057 6785668770 10404692114 15607038171 26011730285 29630753629 31214076342 52023460570 59261507258 78035190855 88892260887 148153768145 156070381710 177784521774 296307536290 444461304435 681507333467 888922608870 1363014666934 2044522000401 3407536667335 4089044000802 6815073334670 10222610002005 20445220004010