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20466800496 = 2433417914627
BaseRepresentation
bin10011000011111010…
…101001011101110000
31221211100220012011000
4103003322221131300
5313404000103441
613222522322000
71323120635202
oct230372513560
957740805130
1020466800496
118752a8015a
123b72359300
131c1230764c
14dc22b8772
157ebc272b6
hex4c3ea9770

20466800496 has 160 divisors (see below), whose sum is σ = 60946099200. Its totient is φ = 6571169280.

The previous prime is 20466800483. The next prime is 20466800561. The reversal of 20466800496 is 69400866402.

20466800496 is a `hidden beast` number, since 20 + 4 + 66 + 80 + 0 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391935 + ... + 1406561.

It is an arithmetic number, because the mean of its divisors is an integer number (380913120).

Almost surely, 220466800496 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 20466800496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30473049600).

20466800496 is an abundant number, since it is smaller than the sum of its proper divisors (40479298704).

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

20466800496 is a wasteful number, since it uses less digits than its factorization.

20466800496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20466800496 in words is "twenty billion, four hundred sixty-six million, eight hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 79 82 108 123 144 158 164 216 237 246 316 328 369 432 474 492 632 656 711 738 948 984 1107 1264 1422 1476 1896 1968 2133 2214 2844 2952 3239 3792 4266 4428 5688 5904 6478 8532 8856 9717 11376 12956 14627 17064 17712 19434 25912 29151 29254 34128 38868 43881 51824 58302 58508 77736 87453 87762 116604 117016 131643 155472 174906 175524 233208 234032 263286 349812 351048 394929 466416 526572 599707 699624 702096 789858 1053144 1155533 1199414 1399248 1579716 1799121 2106288 2311066 2398828 3159432 3466599 3598242 4622132 4797656 5397363 6318864 6933198 7196484 9244264 9595312 10399797 10794726 13866396 14392968 16192089 18488528 20799594 21589452 27732792 28785936 31199391 32384178 41599188 43178904 47376853 55465584 62398782 64768356 83198376 86357808 94753706 124797564 129536712 142130559 166396752 189507412 249595128 259073424 284261118 379014824 426391677 499190256 568522236 758029648 852783354 1137044472 1279175031 1705566708 2274088944 2558350062 3411133416 5116700124 6822266832 10233400248 20466800496