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20450154360042 = 23411101953119227
BaseRepresentation
bin1001010011001011011000…
…01011111010110011101010
32200102000102102022100110000
410221211230023322303222
510140023404004010132
6111254400552203430
74210321613654631
oct451455413726352
980360372270400
1020450154360042
116574953002470
122363463399576
13b545976593a4
14509b15452518
15256e4e96587c
hex12996c2facea

20450154360042 has 160 divisors (see below), whose sum is σ = 50537607303744. Its totient is φ = 6129170208000.

The previous prime is 20450154360023. The next prime is 20450154360043. The reversal of 20450154360042 is 24006345105402.

20450154360042 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 0 + 1 + 5 + 4 + 3 + 600 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20450154359979 and 20450154360006.

It is not an unprimeable number, because it can be changed into a prime (20450154360043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171463233 + ... + 171582459.

Almost surely, 220450154360042 is an apocalyptic number.

20450154360042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20450154360042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268803651872).

20450154360042 is an abundant number, since it is smaller than the sum of its proper divisors (30087452943702).

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

20450154360042 is a wasteful number, since it uses less digits than its factorization.

20450154360042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120306 (or 120297 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20450154360042 its reverse (24006345105402), we get a palindrome (44456499465444).

The spelling of 20450154360042 in words is "twenty trillion, four hundred fifty billion, one hundred fifty-four million, three hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 162 198 202 297 303 594 606 891 909 953 1111 1782 1818 1906 2222 2727 2859 3333 5454 5718 6666 8181 8577 9999 10483 16362 17154 19998 20966 25731 29997 31449 51462 59994 62898 77193 89991 94347 96253 119227 154386 179982 188694 192506 238454 283041 288759 357681 566082 577518 715362 849123 866277 1058783 1073043 1311497 1698246 1732554 2117566 2146086 2598831 2622994 3176349 3219129 3934491 5197662 6352698 6438258 7796493 7868982 9529047 9657387 11803473 12041927 15592986 19058094 19314774 23606946 24083854 28587141 35410419 36125781 57174282 70820838 72251562 85761423 106231257 108377343 113623331 132461197 171522846 212462514 216754686 227246662 264922394 325132029 340869993 397383591 650264058 681739986 794767182 975396087 1022609979 1192150773 1249856641 1950792174 2045219958 2384301546 2499713282 3067829937 3576452319 3749569923 6135659874 7152904638 7499139846 9203489811 10729356957 11248709769 11475956431 18406979622 21458713914 22497419538 22951912862 33746129307 34427869293 67492258614 68855738586 101238387921 103283607879 126235520741 202476775842 206567215758 252471041482 309850823637 378706562223 619701647274 757413124446 929552470911 1136119686669 1859104941822 2272239373338 3408359060007 6816718120014 10225077180021 20450154360042