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44070208092 = 223223292337877
BaseRepresentation
bin101001000010110010…
…100000001001011100
311012202022212112100100
4221002302200021130
51210223433124332
632125013301100
73120046405461
oct510262401134
9135668775310
1044070208092
1117765535689
12865b034790
1342043b6411
1421c0d99668
15122dec967c
hexa42ca025c

44070208092 has 144 divisors (see below), whose sum is σ = 120782975040. Its totient is φ = 13506898944.

The previous prime is 44070208079. The next prime is 44070208109. The reversal of 44070208092 is 29080207044.

44070208092 is a `hidden beast` number, since 440 + 7 + 0 + 208 + 0 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5590858 + ... + 5598734.

It is an arithmetic number, because the mean of its divisors is an integer number (838770660).

Almost surely, 244070208092 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 44070208092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60391487520).

44070208092 is an abundant number, since it is smaller than the sum of its proper divisors (76712766948).

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

44070208092 is a wasteful number, since it uses less digits than its factorization.

44070208092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 44070208092 in words is "forty-four billion, seventy million, two hundred eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 233 261 276 348 414 466 522 667 699 828 932 1044 1334 1398 2001 2097 2668 2796 4002 4194 5359 6003 6757 7877 8004 8388 10718 12006 13514 15754 16077 20271 21436 23631 24012 27028 31508 32154 40542 47262 48231 60813 64308 70893 81084 94524 96462 121626 141786 155411 181171 192924 228433 243252 283572 310822 362342 456866 466233 543513 621644 685299 724684 913732 932466 1087026 1370598 1398699 1630539 1835341 1864932 2055897 2174052 2741196 2797398 3261078 3670682 4111794 5253959 5506023 5594796 6522156 7341364 8223588 10507918 11012046 15761877 16518069 21015836 22024092 31523754 33036138 42212843 47285631 53224889 63047508 66072276 84425686 94571262 106449778 126638529 159674667 168851372 189142524 212899556 253277058 319349334 379915587 479024001 506554116 638698668 759831174 958048002 1224172447 1519662348 1916096004 2448344894 3672517341 4896689788 7345034682 11017552023 14690069364 22035104046 44070208092