Search a number
-
+
46213779043242 = 2332997691440281
BaseRepresentation
bin10101000000111111110111…
…11000100011001110101010
320001121222211201110011121000
422200133323320203032222
522024131304413340432
6242142152250055430
712506556345330516
oct1240377370431652
9201558751404530
1046213779043242
11137a817652a868
12522465911a576
131ca2c2c841545
14b5aa8a387146
155521d6b6357c
hex2a07fbe233aa

46213779043242 has 128 divisors (see below), whose sum is σ = 107489390803200. Its totient is φ = 14698730188800.

The previous prime is 46213779043199. The next prime is 46213779043297. The reversal of 46213779043242 is 24234097731264.

46213779043242 is a `hidden beast` number, since 4 + 6 + 2 + 13 + 77 + 90 + 432 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104744142 + ... + 105184422.

It is an arithmetic number, because the mean of its divisors is an integer number (839760865650).

Almost surely, 246213779043242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46213779043242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53744695401600).

46213779043242 is an abundant number, since it is smaller than the sum of its proper divisors (61275611759958).

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

46213779043242 is a wasteful number, since it uses less digits than its factorization.

46213779043242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441109 (or 441103 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 46213779043242 in words is "forty-six trillion, two hundred thirteen billion, seven hundred seventy-nine million, forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 97 174 194 261 291 522 582 691 783 873 1382 1566 1746 2073 2619 2813 4146 5238 5626 6219 8439 12438 16878 18657 20039 25317 37314 40078 50634 60117 67027 75951 120234 134054 151902 180351 201081 360702 402162 440281 541053 603243 880562 1082106 1206486 1320843 1809729 1943783 2641686 3619458 3887566 3962529 5831349 7925058 11662698 11887587 12768149 17494047 23775174 25536298 34988094 38304447 42707257 52482141 76608894 85414514 104964282 114913341 128121771 229826682 256243542 304234171 344740023 384365313 608468342 689480046 768730626 912702513 1153095939 1238510453 1825405026 2306191878 2477020906 2738107539 3715531359 5476215078 7431062718 8214322617 8822790959 11146594077 16428645234 17645581918 22293188154 26468372877 29510714587 33439782231 52936745754 59021429174 66879564462 79405118631 88532143761 158810237262 177064287522 238215355893 265596431283 476430711786 531192862566 796789293849 855810723023 1593578587698 1711621446046 2567432169069 5134864338138 7702296507207 15404593014414 23106889521621 46213779043242