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20894140453728 = 2535919918537373
BaseRepresentation
bin1001100000000110010111…
…10100011101001101100000
32201222110102120110210111210
410300003023310131031200
510214312144424004403
6112234345143110120
74254360164334063
oct460031364351540
981873376423453
1020894140453728
116726178639003
122415511442340
13b87402b0caa9
145233d33568da
15263787c70b03
hex1300cbd1d360

20894140453728 has 96 divisors (see below), whose sum is σ = 56057018976000. Its totient is φ = 6812261761536.

The previous prime is 20894140453699. The next prime is 20894140453729. The reversal of 20894140453728 is 82735404149802.

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

It is a super-3 number, since 3×208941404537283 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20894140453729) 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 15 ways as a sum of consecutive naturals, for example, 8141551 + ... + 10395822.

It is an arithmetic number, because the mean of its divisors is an integer number (583927281000).

Almost surely, 220894140453728 is an apocalyptic number.

It is an amenable number.

20894140453728 is an abundant number, since it is smaller than the sum of its proper divisors (35162878522272).

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

20894140453728 is a wasteful number, since it uses less digits than its factorization.

20894140453728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537644 (or 18537636 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 20894140453728 in words is "twenty trillion, eight hundred ninety-four billion, one hundred forty million, four hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 199 236 354 398 472 597 708 796 944 1194 1416 1592 1888 2388 2832 3184 4776 5664 6368 9552 11741 19104 23482 35223 46964 70446 93928 140892 187856 281784 375712 563568 1127136 18537373 37074746 55612119 74149492 111224238 148298984 222448476 296597968 444896952 593195936 889793904 1093705007 1779587808 2187410014 3281115021 3688937227 4374820028 6562230042 7377874454 8749640056 11066811681 13124460084 14755748908 17499280112 22133623362 26248920168 29511497816 34998560224 44267246724 52497840336 59022995632 88534493448 104995680672 118045991264 177068986896 217647296393 354137973792 435294592786 652941889179 870589185572 1305883778358 1741178371144 2611767556716 3482356742288 5223535113432 6964713484576 10447070226864 20894140453728