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46011891424 = 2519313241781
BaseRepresentation
bin101010110110100001…
…011011111011100000
311101202122111021010211
4222312201123323200
51223213021011144
633045414303504
73216134424022
oct526641337340
9141678437124
1046011891424
1118571571054
128b01357b94
134453752a75
142326bd4012
1512e46bd034
hexab685bee0

46011891424 has 48 divisors (see below), whose sum is σ = 95658630480. Its totient is φ = 21725383680.

The previous prime is 46011891403. The next prime is 46011891449. The reversal of 46011891424 is 42419811064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69414 + ... + 311194.

It is an arithmetic number, because the mean of its divisors is an integer number (1992888135).

Almost surely, 246011891424 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 46011891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829315240).

46011891424 is an abundant number, since it is smaller than the sum of its proper divisors (49646739056).

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

46011891424 is a wasteful number, since it uses less digits than its factorization.

46011891424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242123 (or 242115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 46011891424 in words is "forty-six billion, eleven million, eight hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 313 608 626 1252 2504 5008 5947 10016 11894 23788 47576 95152 190304 241781 483562 967124 1934248 3868496 4593839 7736992 9187678 18375356 36750712 73501424 75677453 147002848 151354906 302709812 605419624 1210839248 1437871607 2421678496 2875743214 5751486428 11502972856 23005945712 46011891424