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20688490272 = 253171492571
BaseRepresentation
bin10011010001001000…
…010100111100100000
31222101211001012100110
4103101020110330200
5314332223142042
613300522051320
71331452160112
oct232110247440
958354035313
1020688490272
118857127a4a
124014649b40
131c49217228
1410039053b2
1581141809c
hex4d1214f20

20688490272 has 144 divisors (see below), whose sum is σ = 57991725792. Its totient is φ = 6435655680.

The previous prime is 20688490261. The next prime is 20688490301. The reversal of 20688490272 is 27209488602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36231747 + ... + 36232317.

It is an arithmetic number, because the mean of its divisors is an integer number (402720318).

Almost surely, 220688490272 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 20688490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28995862896).

20688490272 is an abundant number, since it is smaller than the sum of its proper divisors (37303235520).

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

20688490272 is a wasteful number, since it uses less digits than its factorization.

20688490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 20688490272 in words is "twenty billion, six hundred eighty-eight million, four hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 149 204 272 298 408 447 544 571 596 816 894 1142 1192 1632 1713 1788 2284 2384 2533 3426 3576 4568 4768 5066 6852 7152 7599 9136 9707 10132 13704 14304 15198 18272 19414 20264 22201 27408 29121 30396 38828 40528 44402 54816 58242 60792 66603 77656 81056 85079 88804 116484 121584 133206 155312 170158 177608 232968 243168 255237 266412 310624 340316 355216 377417 465936 510474 532824 680632 710432 754834 931872 1020948 1065648 1132251 1361264 1446343 1509668 2041896 2131296 2264502 2722528 2892686 3019336 4083792 4339029 4529004 5785372 6038672 8167584 8678058 9058008 11570744 12077344 12676771 17356116 18116016 23141488 25353542 34712232 36232032 38030313 46282976 50707084 69424464 76060626 101414168 138848928 152121252 202828336 215505107 304242504 405656672 431010214 608485008 646515321 862020428 1216970016 1293030642 1724040856 2586061284 3448081712 5172122568 6896163424 10344245136 20688490272