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46406626420 = 22571130799787
BaseRepresentation
bin101011001110000011…
…001110110001110100
311102210011020212202111
4223032003032301310
51230020044021140
633152515020404
73231666546640
oct531603166164
9142704225674
1046406626420
1118754370320
128bb159a704
1344b746ca7b
1423633c7c20
1513191917ea
hexace0cec74

46406626420 has 96 divisors (see below), whose sum is σ = 121552865280. Its totient is φ = 14458227840.

The previous prime is 46406626411. The next prime is 46406626421. The reversal of 46406626420 is 2462660464.

46406626420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46406626421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4736767 + ... + 4746553.

It is an arithmetic number, because the mean of its divisors is an integer number (1266175680).

Almost surely, 246406626420 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 46406626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60776432640).

46406626420 is an abundant number, since it is smaller than the sum of its proper divisors (75146238860).

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

46406626420 is a wasteful number, since it uses less digits than its factorization.

46406626420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12891 counting only the distinct ones).

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

The spelling of 46406626420 in words is "forty-six billion, four hundred six million, six hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3079 6158 9787 12316 15395 19574 21553 30790 33869 39148 43106 48935 61580 67738 68509 86212 97870 107657 107765 135476 137018 169345 195740 215314 215530 237083 274036 338690 342545 430628 431060 474166 538285 677380 685090 753599 948332 1076570 1185415 1370180 1507198 2153140 2370830 3014396 3767995 4741660 7535990 15071980 30134173 60268346 120536692 150670865 210939211 301341730 331475903 421878422 602683460 662951806 843756844 1054696055 1325903612 1657379515 2109392110 2320331321 3314759030 4218784220 4640662642 6629518060 9281325284 11601656605 23203313210 46406626420