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46905890416 = 24711371028999
BaseRepresentation
bin101011101011110011…
…110001011001110000
311111001221201010012121
4223223303301121300
51232030401443131
633314232004024
73250241330050
oct535363613160
9144057633177
1046905890416
11189901747a0
129110830614
134566a27b58
1423ad82b560
151347e11911
hexaebcf1670

46905890416 has 80 divisors (see below), whose sum is σ = 116367552000. Its totient is φ = 17781085440.

The previous prime is 46905890393. The next prime is 46905890417. The reversal of 46905890416 is 61409850964.

It is a happy number.

It is a super-3 number, since 3×469058904163 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46905890417) 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, 468916 + ... + 560083.

It is an arithmetic number, because the mean of its divisors is an integer number (1454594400).

Almost surely, 246905890416 is an apocalyptic number.

It is an amenable number.

46905890416 is an abundant number, since it is smaller than the sum of its proper divisors (69461661584).

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

46905890416 is a wasteful number, since it uses less digits than its factorization.

46905890416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029062 (or 1029056 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 46905890416 in words is "forty-six billion, nine hundred five million, eight hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 1036 1232 1628 2072 2849 3256 4144 5698 6512 11396 22792 45584 1028999 2057998 4115996 7202993 8231992 11318989 14405986 16463984 22637978 28811972 38072963 45275956 57623944 76145926 79232923 90551912 115247888 152291852 158465846 181103824 266510741 304583704 316931692 418802593 533021482 609167408 633863384 837605186 1066042964 1267726768 1675210372 2132085928 2931618151 3350420744 4264171856 5863236302 6700841488 11726472604 23452945208 46905890416