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10444613360604 = 22317831973131251
BaseRepresentation
bin1001011111111101001101…
…1110000001101111011100
31100222111101001201011100020
42113333103132001233130
52332111032010014404
634114104504232140
72125412153506113
oct227772336015734
940874331634306
1010444613360604
113367598a51575
12120829ba6b650
135a9bcc563797
14281744476c7a
15131a4d354ed9
hex97fd3781bdc

10444613360604 has 96 divisors (see below), whose sum is σ = 26247807565056. Its totient is φ = 3220828800000.

The previous prime is 10444613360569. The next prime is 10444613360627. The reversal of 10444613360604 is 40606331644401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769979 + ... + 4901229.

It is an arithmetic number, because the mean of its divisors is an integer number (273414662136).

Almost surely, 210444613360604 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 10444613360604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123903782528).

10444613360604 is an abundant number, since it is smaller than the sum of its proper divisors (15803194204452).

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

10444613360604 is a wasteful number, since it uses less digits than its factorization.

10444613360604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131555 (or 3131553 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 10444613360604 in words is "ten trillion, four hundred forty-four billion, six hundred thirteen million, three hundred sixty thousand, six hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 197 204 249 332 394 498 591 788 996 1182 1411 2364 2822 3349 4233 5644 6698 8466 10047 13396 16351 16932 20094 32702 40188 49053 65404 98106 196212 277967 555934 833901 1111868 1667802 3131251 3335604 6262502 9393753 12525004 18787506 37575012 53231267 106462534 159693801 212925068 259893833 319387602 519787666 616856447 638775204 779681499 1039575332 1233712894 1559362998 1850569341 2467425788 3118725996 3701138682 4418195161 7402277364 8836390322 10486559599 13254585483 17672780644 20973119198 26509170966 31459678797 41946238396 51199085101 53018341932 62919357594 102398170202 125838715188 153597255303 204796340404 307194510606 614389021212 870384446717 1740768893434 2611153340151 3481537786868 5222306680302 10444613360604