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20375125008768 = 27339901595453
BaseRepresentation
bin1001010000111111101000…
…00101101010000110000000
32200010211202111100101122000
410220133310011222012000
510132311224000240033
6111200111520544000
74202024410003365
oct450376405520600
980124674311560
1020375125008768
116546050986342
122350a04182000
13b4a49b27754a
145062388d846c
1525500ca51a13
hex1287f416a180

20375125008768 has 128 divisors (see below), whose sum is σ = 60141092181600. Its totient is φ = 6791010969600.

The previous prime is 20375125008743. The next prime is 20375125008781. The reversal of 20375125008768 is 86780052157302.

20375125008768 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 51 + 2 + 500 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33920130 + ... + 34515582.

Almost surely, 220375125008768 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 20375125008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30070546090800).

20375125008768 is an abundant number, since it is smaller than the sum of its proper divisors (39765967172832).

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

20375125008768 is an equidigital number, since it uses as much as digits as its factorization.

20375125008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605377 (or 605359 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 20375125008768 in words is "twenty trillion, three hundred seventy-five billion, one hundred twenty-five million, eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 9901 19802 29703 39604 59406 79208 89109 118812 158416 178218 237624 267327 316832 356436 475248 534654 595453 633664 712872 950496 1069308 1190906 1267328 1425744 1786359 1900992 2138616 2381812 2851488 3572718 3801984 4277232 4763624 5359077 5702976 7145436 8554464 9527248 10718154 11405952 14290872 16077231 17108928 19054496 21436308 28581744 32154462 34217856 38108992 42872616 57163488 64308924 76217984 85745232 114326976 128617848 171490464 228653952 257235696 342980928 514471392 685961856 1028942784 2057885568 5895580153 11791160306 17686740459 23582320612 35373480918 47164641224 53060221377 70746961836 94329282448 106120442754 141493923672 159180664131 188658564896 212240885508 282987847344 318361328262 377317129792 424481771016 565975694688 636722656524 754634259584 848963542032 1131951389376 1273445313048 1697927084064 2263902778752 2546890626096 3395854168128 5093781252192 6791708336256 10187562504384 20375125008768