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46444291980 = 223519131310997
BaseRepresentation
bin101011010000010010…
…111010011110001100
311102212210010111012020
4223100102322132030
51230104214320410
633200342210140
73232634653032
oct532022723614
9142783114166
1046444291980
1118773656a89
129002123950
1344c21c9b98
1423683d0552
15131c631a70
hexad04ba78c

46444291980 has 96 divisors (see below), whose sum is σ = 137933832960. Its totient is φ = 11643690240.

The previous prime is 46444291979. The next prime is 46444291987. The reversal of 46444291980 is 8919244464.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46444291987) by changing a digit.

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, 6159 + ... + 304838.

It is an arithmetic number, because the mean of its divisors is an integer number (1436810760).

Almost surely, 246444291980 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 46444291980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68966916480).

46444291980 is an abundant number, since it is smaller than the sum of its proper divisors (91489540980).

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

46444291980 is a wasteful number, since it uses less digits than its factorization.

46444291980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311159 (or 311157 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 46444291980 in words is "forty-six billion, four hundred forty-four million, two hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 380 393 524 570 655 786 1140 1310 1572 1965 2489 2620 3930 4978 7467 7860 9956 12445 14934 24890 29868 37335 49780 74670 149340 310997 621994 932991 1243988 1554985 1865982 3109970 3731964 4664955 5908943 6219940 9329910 11817886 17726829 18659820 23635772 29544715 35453658 40740607 59089430 70907316 81481214 88634145 118178860 122221821 162962428 177268290 203703035 244443642 354536580 407406070 488887284 611109105 774071533 814812140 1222218210 1548143066 2322214599 2444436420 3096286132 3870357665 4644429198 7740715330 9288858396 11611072995 15481430660 23222145990 46444291980