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21978271980 = 22325734335081
BaseRepresentation
bin10100011110000000…
…011101000011101100
32002201200222220020100
4110132000131003230
5330002414200410
614032514351100
71405433141460
oct243600350354
962650886210
1021978271980
119359186045
12431458b490
1320c34b5182
1410c6d264a0
1588978a8c0
hex51e01d0ec

21978271980 has 144 divisors (see below), whose sum is σ = 76228536384. Its totient is φ = 5021153280.

The previous prime is 21978271961. The next prime is 21978271999. The reversal of 21978271980 is 8917287912.

21978271980 is a `hidden beast` number, since 219 + 78 + 271 + 98 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21978271961) and next prime (21978271999).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4323040 + ... + 4328120.

It is an arithmetic number, because the mean of its divisors is an integer number (529364836).

Almost surely, 221978271980 is an apocalyptic number.

21978271980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21978271980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38114268192).

21978271980 is an abundant number, since it is smaller than the sum of its proper divisors (54250264404).

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

21978271980 is a wasteful number, since it uses less digits than its factorization.

21978271980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 21978271980 in words is "twenty-one billion, nine hundred seventy-eight million, two hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3433 5081 6866 10162 10299 13732 15243 17165 20324 20598 24031 25405 30486 30897 34330 35567 41196 45729 48062 50810 51495 60972 61794 68660 71134 72093 76215 91458 96124 101620 102990 106701 120155 123588 142268 144186 152430 154485 177835 182916 205980 213402 216279 228645 240310 288372 304860 308970 320103 355670 360465 426804 432558 457290 480620 533505 617940 640206 711340 720930 865116 914580 1067010 1081395 1280412 1441860 1600515 2134020 2162790 3201030 4325580 6402060 17443073 34886146 52329219 69772292 87215365 104658438 122101511 156987657 174430730 209316876 244203022 261646095 313975314 348861460 366304533 488406044 523292190 610507555 627950628 732609066 784938285 1046584380 1098913599 1221015110 1465218132 1569876570 1831522665 2197827198 2442030220 3139753140 3663045330 4395654396 5494567995 7326090660 10989135990 21978271980