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81448545464772 = 223232983122602171
BaseRepresentation
bin10010100001001110110111…
…100111101011000111000100
3101200101101221011200221111120
4102201032313213223013010
541133423110114333042
6445120540101033540
723104314612323553
oct2241166747530704
9350341834627446
1081448545464772
1123a52152612652
1291753350b58b0
13365a746074875
1416181b8663d9a
159639e48c4dec
hex4a13b79eb1c4

81448545464772 has 96 divisors (see below), whose sum is σ = 207619422151680. Its totient is φ = 24771523244160.

The previous prime is 81448545464701. The next prime is 81448545464779. The reversal of 81448545464772 is 27746454584418.

It is a happy number.

81448545464772 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 81448545464697 and 81448545464706.

It is not an unprimeable number, because it can be changed into a prime (81448545464779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60636754 + ... + 61965417.

It is an arithmetic number, because the mean of its divisors is an integer number (2162702314080).

Almost surely, 281448545464772 is an apocalyptic number.

It is an amenable number.

81448545464772 is an abundant number, since it is smaller than the sum of its proper divisors (126170876686908).

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

81448545464772 is a wasteful number, since it uses less digits than its factorization.

81448545464772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122602313 (or 122602311 counting only the distinct ones).

The product of its digits is 963379200, while the sum is 69.

The spelling of 81448545464772 in words is "eighty-one trillion, four hundred forty-eight billion, five hundred forty-five million, four hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 83 87 92 116 138 166 174 249 276 332 348 498 667 996 1334 1909 2001 2407 2668 3818 4002 4814 5727 7221 7636 8004 9628 11454 14442 22908 28884 55361 110722 166083 221444 332166 664332 122602171 245204342 367806513 490408684 735613026 1471226052 2819849933 3555462959 5639699866 7110925918 8459549799 10175980193 10666388877 11279399732 14221851836 16919099598 20351960386 21332777754 30527940579 33838199196 40703920772 42665555508 61055881158 81775648057 122111762316 163551296114 234047544439 245326944171 295103425597 327102592228 468095088878 490653888342 590206851194 702142633317 885310276791 936190177756 981307776684 1180413702388 1404285266634 1770620553582 2808570533268 3541241107164 6787378788731 13574757577462 20362136366193 27149515154924 40724272732386 81448545464772