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20350122025436 = 22721511151597391
BaseRepresentation
bin1001010000010001000011…
…10010110110000111011100
32200001110012222211020110022
410220020201302312013130
510131404022214303221
6111140414512131312
74200150665105300
oct450104162660734
980043188736408
1020350122025436
1165364903a1955
122347ba6836b38
13b48015238158
14504d45db5d00
152545479904ab
hex128221cb61dc

20350122025436 has 72 divisors (see below), whose sum is σ = 41737685778432. Its totient is φ = 8656181100000.

The previous prime is 20350122025397. The next prime is 20350122025451. The reversal of 20350122025436 is 63452022105302.

It is a junction number, because it is equal to n+sod(n) for n = 20350122025396 and 20350122025405.

It is a congruent number.

It is an unprimeable number.

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, 33766301 + ... + 34363691.

It is an arithmetic number, because the mean of its divisors is an integer number (579690080256).

Almost surely, 220350122025436 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 20350122025436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868842889216).

20350122025436 is an abundant number, since it is smaller than the sum of its proper divisors (21387563752996).

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

20350122025436 is a wasteful number, since it uses less digits than its factorization.

20350122025436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598711 (or 598702 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 20350122025436 in words is "twenty trillion, three hundred fifty billion, one hundred twenty-two million, twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 1057 1151 2114 2302 4228 4604 7399 8057 14798 16114 29596 32228 56399 112798 173801 225596 347602 597391 695204 1194782 1216607 2389564 2433214 4181737 4866428 8363474 8516249 16726948 17032498 29272159 34064996 58544318 90206041 117088636 180412082 360824164 631442287 687597041 1262884574 1375194082 2525769148 2750388164 4420096009 4813179287 8840192018 9626358574 17680384036 19252717148 33692255009 67384510018 103827153191 134769020036 207654306382 415308612764 726790072337 1453580144674 2907160289348 5087530506359 10175061012718 20350122025436