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20127170245224 = 23372347110827553
BaseRepresentation
bin1001001001110001110001…
…10101010011001001101000
32122021010202002201022111010
410210320320311103021220
510114230421040321344
6110450143325503520
74145066020203210
oct444707065231150
978233662638433
1020127170245224
11645a980986559
122310944711ba0
13b2cca3b40b53
144d8235999240
1524d8495838b9
hex124e38d53268

20127170245224 has 128 divisors (see below), whose sum is σ = 61283204259840. Its totient is φ = 5383559165952.

The previous prime is 20127170245223. The next prime is 20127170245241. The reversal of 20127170245224 is 42254207172102.

It is a super-3 number, since 3×201271702452243 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20127170245223) 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, 55232169 + ... + 55595384.

It is an arithmetic number, because the mean of its divisors is an integer number (478775033280).

Almost surely, 220127170245224 is an apocalyptic number.

20127170245224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20127170245224 is an abundant number, since it is smaller than the sum of its proper divisors (41156034014616).

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

20127170245224 is a wasteful number, since it uses less digits than its factorization.

20127170245224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110827639 (or 110827635 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 20127170245224 in words is "twenty trillion, one hundred twenty-seven billion, one hundred seventy million, two hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 69 84 92 94 138 141 161 168 184 188 276 282 322 329 376 483 552 564 644 658 966 987 1081 1128 1288 1316 1932 1974 2162 2632 3243 3864 3948 4324 6486 7567 7896 8648 12972 15134 22701 25944 30268 45402 60536 90804 181608 110827553 221655106 332482659 443310212 664965318 775792871 886620424 1329930636 1551585742 2327378613 2549033719 2659861272 3103171484 4654757226 5098067438 5208894991 6206342968 7647101157 9309514452 10196134876 10417789982 15294202314 15626684973 17843236033 18619028904 20392269752 20835579964 30588404628 31253369946 35686472066 36462264937 41671159928 53529708099 61176809256 62506739892 71372944132 72924529874 107059416198 109386794811 119804584793 125013479784 142745888264 145849059748 214118832396 218773589622 239609169586 291698119496 359413754379 428237664792 437547179244 479218339172 718827508758 838632093551 875094358488 958436678344 1437655017516 1677264187102 2515896280653 2875310035032 3354528374204 5031792561306 6709056748408 10063585122612 20127170245224