Search a number
-
+
46609472760 = 23353752120149
BaseRepresentation
bin101011011010001001…
…000001110011111000
311110022021221112121220
4223122021001303320
51230424011112020
633225002432040
73240011660454
oct533211016370
9143267845556
1046609472760
1118848917824
129049502620
13451a4b27a6
14238230b664
15132bdae240
hexada241cf8

46609472760 has 128 divisors (see below), whose sum is σ = 143890344000. Its totient is φ = 12069457920.

The previous prime is 46609472731. The next prime is 46609472773. The reversal of 46609472760 is 6727490664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2303166 + ... + 2323314.

Almost surely, 246609472760 is an apocalyptic number.

46609472760 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 46609472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71945172000).

46609472760 is an abundant number, since it is smaller than the sum of its proper divisors (97280871240).

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

46609472760 is a wasteful number, since it uses less digits than its factorization.

46609472760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 46609472760 in words is "forty-six billion, six hundred nine million, four hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 521 555 740 888 1042 1110 1480 1563 2084 2220 2605 3126 4168 4440 5210 6252 7815 10420 12504 15630 19277 20149 20840 31260 38554 40298 57831 60447 62520 77108 80596 96385 100745 115662 120894 154216 161192 192770 201490 231324 241788 289155 302235 385540 402980 462648 483576 578310 604470 745513 771080 805960 1156620 1208940 1491026 2236539 2313240 2417880 2982052 3727565 4473078 5964104 7455130 8946156 10497629 11182695 14910260 17892312 20995258 22365390 29820520 31492887 41990516 44730780 52488145 62985774 83981032 89461560 104976290 125971548 157464435 209952580 251943096 314928870 388412273 419905160 629857740 776824546 1165236819 1259715480 1553649092 1942061365 2330473638 3107298184 3884122730 4660947276 5826184095 7768245460 9321894552 11652368190 15536490920 23304736380 46609472760