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46444291872 = 2531190748491
BaseRepresentation
bin101011010000010010…
…111010011100100000
311102212210010111001020
4223100102322130200
51230104214314442
633200342205440
73232634652516
oct532022723440
9142783114036
1046444291872
11187736569a0
129002123880
1344c21c9b14
1423683d04b6
15131c6319ec
hexad04ba720

46444291872 has 96 divisors (see below), whose sum is σ = 133148945664. Its totient is φ = 14058220800.

The previous prime is 46444291871. The next prime is 46444291931. The reversal of 46444291872 is 27819244464.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (46444291871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933547 + ... + 982037.

It is an arithmetic number, because the mean of its divisors is an integer number (1386968184).

Almost surely, 246444291872 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 46444291872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66574472832).

46444291872 is an abundant number, since it is smaller than the sum of its proper divisors (86704653792).

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

46444291872 is a wasteful number, since it uses less digits than its factorization.

46444291872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49422 (or 49414 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 46444291872 in words is "forty-six billion, four hundred forty-four million, two hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 907 1056 1814 2721 3628 5442 7256 9977 10884 14512 19954 21768 29024 29931 39908 43536 48491 59862 79816 87072 96982 119724 145473 159632 193964 239448 290946 319264 387928 478896 533401 581892 775856 957792 1066802 1163784 1551712 1600203 2133604 2327568 3200406 4267208 4655136 6400812 8534416 12801624 17068832 25603248 43981337 51206496 87962674 131944011 175925348 263888022 351850696 483794707 527776044 703701392 967589414 1055552088 1407402784 1451384121 1935178828 2111104176 2902768242 3870357656 4222208352 5805536484 7740715312 11611072968 15481430624 23222145936 46444291872