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46644844664 = 23112178533323
BaseRepresentation
bin101011011100001111…
…111101100001111000
311110101202111121202102
4223130033331201320
51231012040012124
633232304522532
73240621431525
oct533417754170
9143352447672
1046644844664
1118866887200
129059320448
134524918902
142386cb814c
151330049aae
hexadc3fd878

46644844664 has 96 divisors (see below), whose sum is σ = 101937573360. Its totient is φ = 19925621760.

The previous prime is 46644844591. The next prime is 46644844717.

46644844664 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14035307 + ... + 14038629.

Almost surely, 246644844664 is an apocalyptic number.

46644844664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46644844664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50968786680).

46644844664 is an abundant number, since it is smaller than the sum of its proper divisors (55292728696).

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

46644844664 is a wasteful number, since it uses less digits than its factorization.

46644844664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4206 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 56.

The spelling of 46644844664 in words is "forty-six billion, six hundred forty-four million, eight hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 853 968 1496 1706 2057 3323 3412 4114 6646 6824 8228 9383 13292 14501 16456 18766 26584 29002 36553 37532 56491 58004 73106 75064 103213 112982 116008 146212 159511 206426 225964 292424 319022 402083 412852 451928 621401 638044 804166 825704 1242802 1276088 1608332 1754621 2485604 2834519 3216664 3509242 4971208 5669038 6835411 7018484 11338076 13670822 14036968 22676152 27341644 31179709 48186823 54683288 62359418 96373646 124718836 192747292 249437672 342976799 385494584 530055053 685953598 1060110106 1371907196 2120220212 2743814392 4240440424 5830605583 11661211166 23322422332 46644844664