Search a number
-
+
44948969549160 = 23351991966195737
BaseRepresentation
bin10100011100001011111110…
…10111001110110101101000
312220011002010222020122021220
422032011333113032311220
521342420442201033120
6235333134353102040
712316312240115235
oct1216057727166550
9186132128218256
1044948969549160
111335a829547616
12505b4b2b57920
131c1089227c891
14b1578273878c
1552e35c39eb40
hex28e17f5ced68

44948969549160 has 128 divisors (see below), whose sum is σ = 135532840032000. Its totient is φ = 11925427599360.

The previous prime is 44948969549053. The next prime is 44948969549179. The reversal of 44948969549160 is 6194596984944.

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, 469456812 + ... + 469552548.

It is an arithmetic number, because the mean of its divisors is an integer number (1058850312750).

Almost surely, 244948969549160 is an apocalyptic number.

44948969549160 is a gapful number since it is divisible by the number (40) 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 44948969549160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67766420016000).

44948969549160 is an abundant number, since it is smaller than the sum of its proper divisors (90583870482840).

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

44948969549160 is a wasteful number, since it uses less digits than its factorization.

44948969549160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115611 (or 115607 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 78.

The spelling of 44948969549160 in words is "forty-four trillion, nine hundred forty-eight billion, nine hundred sixty-nine million, five hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 19661 23880 39322 58983 78644 95737 98305 117966 157288 191474 196610 235932 287211 294915 382948 393220 471864 478685 574422 589830 765896 786440 957370 1148844 1179660 1436055 1914740 2297688 2359320 2872110 3829480 3912539 5744220 7825078 11488440 11737617 15650156 19051663 19562695 23475234 31300312 38103326 39125390 46950468 57154989 58688085 76206652 78250780 93900936 95258315 114309978 117376170 152413304 156501560 190516630 228619956 234752340 285774945 381033260 457239912 469504680 571549890 762066520 1143099780 1882285157 2286199560 3764570314 5646855471 7529140628 9411425785 11293710942 15058281256 18822851570 22587421884 28234277355 37645703140 45174843768 56468554710 75291406280 112937109420 225874218840 374574746243 749149492486 1123724238729 1498298984972 1872873731215 2247448477458 2996597969944 3745747462430 4494896954916 5618621193645 7491494924860 8989793909832 11237242387290 14982989849720 22474484774580 44948969549160