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20642223062400 = 273522150231569
BaseRepresentation
bin1001011000110001001000…
…10111110111110110000000
32201002101012000110100221220
410230120210113313312000
510201200233100444100
6111522523435115040
74230231350002122
oct454304427676600
981071160410856
1020642223062400
116639354860325
1223947268a2a80
13b6972673b424
14515136031212
1525be41960aa0
hex12c6245f7d80

20642223062400 has 96 divisors (see below), whose sum is σ = 67990322243400. Its totient is φ = 5504592814080.

The previous prime is 20642223062399. The next prime is 20642223062471. The reversal of 20642223062400 is 426032224602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×206422230624002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075106185 + ... + 1075125384.

Almost surely, 220642223062400 is an apocalyptic number.

20642223062400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20642223062400 is an abundant number, since it is smaller than the sum of its proper divisors (47348099181000).

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

20642223062400 is a wasteful number, since it uses less digits than its factorization.

20642223062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150231596 (or 2150231579 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 20642223062400 in words is "twenty trillion, six hundred forty-two billion, two hundred twenty-three million, sixty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 2150231569 4300463138 6450694707 8600926276 10751157845 12901389414 17201852552 21502315690 25802778828 32253473535 34403705104 43004631380 51605557656 53755789225 64506947070 68807410208 86009262760 103211115312 107511578450 129013894140 137614820416 161267367675 172018525520 206422230624 215023156900 258027788280 275229640832 322534735350 344037051040 412844461248 430046313800 516055576560 645069470700 688074102080 825688922496 860092627600 1032111153120 1290138941400 1376148204160 1720185255200 2064222306240 2580277882800 3440370510400 4128444612480 5160555765600 6880741020800 10321111531200 20642223062400