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20055663235104 = 2537223185371037
BaseRepresentation
bin1001000111101100100101…
…01011101101000000100000
32122000022011122122211100220
410203312102223231000200
510112042444242010404
6110353240002243040
74136655013511100
oct443662253550040
978008148584326
1020055663235104
116432617056482
1222bab09056480
13b2631941b543
144d49b0b77200
1524ba619e14d9
hex123d92aed020

20055663235104 has 144 divisors (see below), whose sum is σ = 63904070155968. Its totient is φ = 5481050792448.

The previous prime is 20055663235103. The next prime is 20055663235117. The reversal of 20055663235104 is 40153236655002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20055663235103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92577327 + ... + 92793710.

It is an arithmetic number, because the mean of its divisors is an integer number (443778264972).

Almost surely, 220055663235104 is an apocalyptic number.

20055663235104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20055663235104 is an abundant number, since it is smaller than the sum of its proper divisors (43848406920864).

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

20055663235104 is a wasteful number, since it uses less digits than its factorization.

20055663235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185371087 (or 185371072 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 20055663235104 in words is "twenty trillion, fifty-five billion, six hundred sixty-three million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192 185371037 370742074 556113111 741484148 1112226222 1297597259 1482968296 2224452444 2595194518 2965936592 3892791777 4263533851 4448904888 5190389036 5931873184 7785583554 8527067702 8897809776 9083180813 10380778072 12790601553 15571167108 17054135404 17795619552 18166361626 20761556144 25581203106 27249542439 29844736957 31142334216 34108270808 36332723252 41523112288 51162406212 54499084878 59689473914 62284668432 68216541616 72665446504 89534210871 102324812424 108998169756 119378947828 124569336864 136433083232 145330893008 179068421742 204649624848 208913158699 217996339512 238757895656 290661786016 358136843484 409299249696 417826317398 435992679024 477515791312 626739476097 716273686968 835652634796 871985358048 955031582624 1253478952194 1432547373936 1671305269592 2506957904388 2865094747872 3342610539184 5013915808776 6685221078368 10027831617552 20055663235104