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46406446060 = 225131033534909
BaseRepresentation
bin101011001110000010…
…100010101111101100
311102210010220201100111
4223032002202233230
51230020022233220
633152511105404
73231665166052
oct531602425754
9142703821314
1046406446060
1118754257867
128bb1512264
1344b7408950
14236337c1d2
15131915815a
hexace0a2bec

46406446060 has 96 divisors (see below), whose sum is σ = 106290737280. Its totient is φ = 16916815872.

The previous prime is 46406446057. The next prime is 46406446081. The reversal of 46406446060 is 6064460464.

It is a happy number.

46406446060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9450886 + ... + 9455794.

It is an arithmetic number, because the mean of its divisors is an integer number (1107195180).

Almost surely, 246406446060 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 46406446060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53145368640).

46406446060 is an abundant number, since it is smaller than the sum of its proper divisors (59884291220).

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

46406446060 is a wasteful number, since it uses less digits than its factorization.

46406446060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46406446060 in words is "forty-six billion, four hundred six million, four hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 353 412 515 706 1030 1339 1412 1765 2060 2678 3530 4589 4909 5356 6695 7060 9178 9818 13390 18356 19636 22945 24545 26780 36359 45890 49090 63817 72718 91780 98180 127634 145436 181795 255268 319085 363590 472667 505627 638170 727180 945334 1011254 1276340 1732877 1890668 2022508 2363335 2528135 3465754 4726670 5056270 6573151 6931508 8664385 9453340 10112540 13146302 17328770 22527401 26292604 32865755 34657540 45054802 65731510 90109604 112637005 131463020 178486331 225274010 356972662 450548020 713945324 892431655 1784863310 2320322303 3569726620 4640644606 9281289212 11601611515 23203223030 46406446060