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20371508369988 = 223171921297921313
BaseRepresentation
bin1001010000111000111001…
…00001010001101001000100
32200010111102110000002220120
410220130130201101221010
510132231322120314423
6111154313003501540
74201535653042116
oct450343441215104
980114373002816
1020371508369988
116544565433076
122350174b278b0
13b4a042bbcbb9
14505db44573b6
15254d9a2a4ee3
hex12871c851a44

20371508369988 has 144 divisors (see below), whose sum is σ = 53124537977280. Its totient is φ = 6053939232768.

The previous prime is 20371508369951. The next prime is 20371508369999. The reversal of 20371508369988 is 88996380517302.

It is a happy number.

It is a super-2 number, since 2×203715083699882 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 955814820 + ... + 955836132.

It is an arithmetic number, because the mean of its divisors is an integer number (368920402620).

Almost surely, 220371508369988 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 20371508369988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562268988640).

20371508369988 is an abundant number, since it is smaller than the sum of its proper divisors (32753029607292).

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

20371508369988 is a wasteful number, since it uses less digits than its factorization.

20371508369988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34354 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 20371508369988 in words is "twenty trillion, three hundred seventy-one billion, five hundred eight million, three hundred sixty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 361 646 722 969 1083 1292 1444 1938 2166 3876 4332 6137 12274 12979 18411 21313 24548 25958 36822 38937 42626 51916 63939 73644 77874 85252 127878 155748 220643 246601 255756 362321 404947 441286 493202 661929 724642 739803 809894 882572 986404 1086963 1214841 1323858 1449284 1479606 1619788 2173926 2429682 2647716 2959212 4192217 4347852 4685419 4859364 6884099 7693993 8384434 9370838 12576651 13768198 14056257 15387986 16768868 18741676 20652297 23081979 25153302 27536396 28112514 30775972 41304594 46163958 50306604 56225028 79652123 82609188 92327916 130797881 159304246 238956369 261595762 276621427 318608492 392393643 477912738 523191524 553242854 784787286 829864281 955825476 1106485708 1569574572 1659728562 3319457124 4702564259 5255807113 9405128518 10511614226 14107692777 15767421339 18810257036 21023228452 28215385554 31534842678 56430771108 63069685356 89348720921 99860335147 178697441842 199720670294 268046162763 299581005441 357394883684 399441340588 536092325526 599162010882 1072184651052 1198324021764 1697625697499 3395251394998 5092877092497 6790502789996 10185754184994 20371508369988