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44481366804 = 22372717913487
BaseRepresentation
bin101001011011010010…
…111100101100010100
311020210222112120001210
4221123102330230110
51212044212214204
632233502021420
73133201244100
oct513322745424
9136728476053
1044481366804
1117956632276
128754877870
13426b633ab4
14221d826900
151255144389
hexa5b4bcb14

44481366804 has 144 divisors (see below), whose sum is σ = 123994644480. Its totient is φ = 12370438080.

The previous prime is 44481366803. The next prime is 44481366901. The reversal of 44481366804 is 40866318444.

44481366804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444813668043 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44481366803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3291349 + ... + 3304835.

It is an arithmetic number, because the mean of its divisors is an integer number (861073920).

Almost surely, 244481366804 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 44481366804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61997322240).

44481366804 is an abundant number, since it is smaller than the sum of its proper divisors (79513277676).

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

44481366804 is a wasteful number, since it uses less digits than its factorization.

44481366804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13658 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 44481366804 in words is "forty-four billion, four hundred eighty-one million, three hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 79 84 98 142 147 158 196 213 237 284 294 316 426 474 497 553 588 852 948 994 1106 1491 1659 1988 2212 2982 3318 3479 3871 5609 5964 6636 6958 7742 10437 11218 11613 13487 13916 15484 16827 20874 22436 23226 26974 33654 39263 40461 41748 46452 53948 67308 78526 80922 94409 117789 157052 161844 188818 235578 274841 283227 377636 471156 549682 566454 660863 824523 957577 1065473 1099364 1132908 1321726 1649046 1915154 1982589 2130946 2643452 2872731 3196419 3298092 3830308 3965178 4261892 5745462 6392838 6703039 7458311 7930356 11490924 12785676 13406078 14916622 20109117 22374933 26812156 29833244 40218234 44749866 46921273 52208177 75648583 80436468 89499732 93842546 104416354 140763819 151297166 156624531 187685092 208832708 226945749 281527638 302594332 313249062 453891498 529540081 563055276 626498124 907782996 1059080162 1588620243 2118160324 3177240486 3706780567 6354480972 7413561134 11120341701 14827122268 22240683402 44481366804