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46298012448 = 2531524131643
BaseRepresentation
bin101011000111100100…
…111001101100100000
311102111120212201101210
4223013210321230200
51224304242344243
633134035030120
73226210420062
oct530744715440
9142446781353
1046298012448
11186a9026006
128b8113b340
13449ab0154c
142352bd3732
15130e889933
hexac7939b20

46298012448 has 48 divisors (see below), whose sum is σ = 121544097696. Its totient is φ = 15431170560.

The previous prime is 46298012447. The next prime is 46298012473. The reversal of 46298012448 is 84421089264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 46298012397 and 46298012406.

It is not an unprimeable number, because it can be changed into a prime (46298012447) 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 7 ways as a sum of consecutive naturals, for example, 1447315 + ... + 1478957.

It is an arithmetic number, because the mean of its divisors is an integer number (2532168702).

Almost surely, 246298012448 is an apocalyptic number.

46298012448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46298012448 is an abundant number, since it is smaller than the sum of its proper divisors (75246085248).

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

46298012448 is a wasteful number, since it uses less digits than its factorization.

46298012448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46897 (or 46889 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 46298012448 in words is "forty-six billion, two hundred ninety-eight million, twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 15241 30482 31643 45723 60964 63286 91446 94929 121928 126572 182892 189858 243856 253144 365784 379716 487712 506288 731568 759432 1012576 1463136 1518864 3037728 482270963 964541926 1446812889 1929083852 2893625778 3858167704 5787251556 7716335408 11574503112 15432670816 23149006224 46298012448