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20506608846744 = 233174111091105397
BaseRepresentation
bin1001010100110100100010…
…01000101100011110011000
32200121102010211101102021220
410222122101020230132120
510141440013331043434
6111340334523532040
74214360612123106
oct452322110543630
980542124342256
1020506608846744
1165968930a6949
12237239998a020
13b599c36a2ac7
1450c74d09ac76
15258655cbad49
hex12a69122c798

20506608846744 has 128 divisors (see below), whose sum is σ = 55656347140800. Its totient is φ = 6270867292160.

The previous prime is 20506608846733. The next prime is 20506608846803. The reversal of 20506608846744 is 44764880660502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17998654 + ... + 19104050.

Almost surely, 220506608846744 is an apocalyptic number.

20506608846744 is a gapful number since it is divisible by the number (24) 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 20506608846744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828173570400).

20506608846744 is an abundant number, since it is smaller than the sum of its proper divisors (35149738294056).

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

20506608846744 is a wasteful number, since it uses less digits than its factorization.

20506608846744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106573 (or 1106569 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 20506608846744 in words is "twenty trillion, five hundred six billion, six hundred eight million, eight hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1109 1394 2091 2218 2788 3327 4182 4436 5576 6654 8364 8872 13308 16728 18853 26616 37706 45469 56559 75412 90938 113118 136407 150824 181876 226236 272814 363752 452472 545628 772973 1091256 1105397 1545946 2210794 2318919 3091892 3316191 4421588 4637838 6183784 6632382 8843176 9275676 13264764 18551352 18791749 26529528 37583498 45321277 56375247 75166996 90642554 112750494 135963831 150333992 181285108 225500988 271927662 362570216 451001976 543855324 770461709 1087710648 1225885273 1540923418 2311385127 2451770546 3081846836 3677655819 4622770254 4903541092 6163693672 7355311638 9245540508 9807082184 14710623276 18491081016 20840049641 29421246552 41680099282 50261296193 62520148923 83360198564 100522592386 125040297846 150783888579 166720397128 201045184772 250080595692 301567777158 402090369544 500161191384 603135554316 854442035281 1206271108632 1708884070562 2563326105843 3417768141124 5126652211686 6835536282248 10253304423372 20506608846744