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20721187485 = 32519236715727
BaseRepresentation
bin10011010011000101…
…000011101010011101
31222111002120101111100
4103103011003222131
5314414110444420
613304050543313
71332330121215
oct232305035235
958432511440
1020721187485
11887362a939
124023597b39
131c52c24aab
141007db7245
15814226190
hex4d3143a9d

20721187485 has 96 divisors (see below), whose sum is σ = 40042229760. Its totient is φ = 9864353664.

The previous prime is 20721187469. The next prime is 20721187499. The reversal of 20721187485 is 58478112702.

20721187485 is a `hidden beast` number, since 20 + 72 + 1 + 1 + 87 + 485 = 666.

It is not a de Polignac number, because 20721187485 - 24 = 20721187469 is a prime.

It is a super-3 number, since 3×207211874853 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20721187485.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309692 + ... + 1325418.

It is an arithmetic number, because the mean of its divisors is an integer number (417106560).

Almost surely, 220721187485 is an apocalyptic number.

It is an amenable number.

20721187485 is a deficient number, since it is larger than the sum of its proper divisors (19321042275).

20721187485 is a wasteful number, since it uses less digits than its factorization.

20721187485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 20721187485 in words is "twenty billion, seven hundred twenty-one million, one hundred eighty-seven thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 19 23 45 57 67 69 95 115 171 201 207 285 335 345 437 603 855 1005 1035 1273 1311 1541 2185 3015 3819 3933 4623 6365 6555 7705 11457 13869 15727 19095 19665 23115 29279 47181 57285 69345 78635 87837 141543 146395 235905 263511 298813 361721 439185 707715 896439 1053709 1085163 1317555 1494065 1808605 2689317 3161127 3255489 4482195 5268545 5425815 6872699 9483381 13446585 15805635 16277445 20020471 20618097 24235307 34363495 47416905 60061413 61854291 72705921 100102355 103090485 121176535 180184239 218117763 300307065 309271455 363529605 460470833 900921195 1090588815 1381412499 2302354165 4144237497 6907062495 20721187485