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46726241480 = 23517593115877
BaseRepresentation
bin101011100001000110…
…011101110011001000
311110121102200000012022
4223201012131303020
51231143404211410
633244333304012
73242630333162
oct534106356310
9143542600168
1046726241480
11188a88218a6
129080635008
1345387479c9
142393a25932
151337277455
hexae119dcc8

46726241480 has 64 divisors (see below), whose sum is σ = 111507081840. Its totient is φ = 17561239552.

The previous prime is 46726241479. The next prime is 46726241483. The reversal of 46726241480 is 8414262764.

It can be written as a sum of positive squares in 8 ways, for example, as 17694852484 + 29031388996 = 133022^2 + 170386^2 .

It is not an unprimeable number, because it can be changed into a prime (46726241483) 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 15 ways as a sum of consecutive naturals, for example, 345302 + ... + 461178.

Almost surely, 246726241480 is an apocalyptic number.

46726241480 is a gapful number since it is divisible by the number (40) 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 46726241480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55753540920).

46726241480 is an abundant number, since it is smaller than the sum of its proper divisors (64780840360).

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

46726241480 is a wasteful number, since it uses less digits than its factorization.

46726241480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116498 (or 116494 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 46726241480 in words is "forty-six billion, seven hundred twenty-six million, two hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 593 680 1186 2372 2965 4744 5930 10081 11860 20162 23720 40324 50405 80648 100810 115877 201620 231754 403240 463508 579385 927016 1158770 1969909 2317540 3939818 4635080 7879636 9849545 15759272 19699090 39398180 68715061 78796360 137430122 274860244 343575305 549720488 687150610 1168156037 1374301220 2336312074 2748602440 4672624148 5840780185 9345248296 11681560370 23363120740 46726241480