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10653420620444 = 22721132273795591
BaseRepresentation
bin1001101100000111000101…
…0110100000101010011100
31101201110100012102000001112
42123001301112200222130
52344021201134323234
634354040332401152
72146453460104400
oct233016126405234
941643305360045
1010653420620444
1134380aa22a408
1212408550161b8
135c37c841b1c4
1428b8b211b100
151371bead2ace
hex9b0715a0a9c

10653420620444 has 144 divisors (see below), whose sum is σ = 22037552167680. Its totient is φ = 4492720028160.

The previous prime is 10653420620393. The next prime is 10653420620459. The reversal of 10653420620444 is 44402602435601.

It is a super-2 number, since 2×106534206204442 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1905456089 + ... + 1905461679.

It is an arithmetic number, because the mean of its divisors is an integer number (153038556720).

Almost surely, 210653420620444 is an apocalyptic number.

10653420620444 is a gapful number since it is divisible by the number (14) 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 10653420620444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018776083840).

10653420620444 is an abundant number, since it is smaller than the sum of its proper divisors (11384131547236).

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

10653420620444 is a wasteful number, since it uses less digits than its factorization.

10653420620444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 10653420620444 in words is "ten trillion, six hundred fifty-three billion, four hundred twenty million, six hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 227 379 452 454 758 791 908 1516 1582 1589 2653 3164 3178 5306 5537 5591 6356 10612 11074 11123 11182 18571 22148 22246 22364 25651 37142 39137 42827 44492 51302 74284 78274 85654 86033 102604 156548 171308 172066 179557 273959 299789 344132 359114 547918 599578 602231 631783 718228 1095836 1199156 1204462 1256899 1263566 1269157 2098523 2118989 2408924 2513798 2527132 2538314 4197046 4215617 4237978 4422481 5027596 5076628 8394092 8431234 8475956 8844962 8884099 9721729 14832923 16862468 17689924 17768198 19443458 29665846 30957367 35536396 38886916 59331692 61914734 62188693 68052103 103830461 123829468 124377386 136104206 143414741 207660922 239445757 248754772 272208412 286829482 415321844 476364721 478891514 481010503 573658964 952729442 957783028 962021006 1003903187 1676120299 1905458884 1924042012 2007806374 3352240598 3367073521 4015612748 6704481196 6734147042 7027322309 11732842093 13468294084 14054644618 23465684186 23569514647 28109289236 46931368372 47139029294 54354186839 94278058588 108708373678 217416747356 380479307873 760958615746 1521917231492 2663355155111 5326710310222 10653420620444