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50301242432 = 267219781421
BaseRepresentation
bin101110110110001100…
…000000110001000000
311210211120122212112222
4232312030000301000
51311004104224212
635035202110212
73430340335400
oct566614006100
9153746585488
1050301242432
111a372815a41
1298b994b368
1349882b419c
142612748800
15149604bc72
hexbb6300c40

50301242432 has 84 divisors (see below), whose sum is σ = 116703943884. Its totient is φ = 21447982080.

The previous prime is 50301242423. The next prime is 50301242449. The reversal of 50301242432 is 23424210305.

It can be written as a sum of positive squares in 2 ways, for example, as 49575694336 + 725548096 = 222656^2 + 26936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577082 + ... + 658502.

Almost surely, 250301242432 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 50301242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58351971942).

50301242432 is an abundant number, since it is smaller than the sum of its proper divisors (66402701452).

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

50301242432 is a wasteful number, since it uses less digits than its factorization.

50301242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81644 (or 81627 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 50301242432 its reverse (23424210305), we get a palindrome (73725452737).

The spelling of 50301242432 in words is "fifty billion, three hundred one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 197 224 392 394 448 784 788 1379 1568 1576 2758 3136 3152 5516 6304 9653 11032 12608 19306 22064 38612 44128 77224 81421 88256 154448 162842 308896 325684 569947 617792 651368 1139894 1302736 2279788 2605472 3989629 4559576 5210944 7979258 9119152 15958516 16039937 18238304 31917032 32079874 36476608 63834064 64159748 112279559 127668128 128319496 224559118 255336256 256638992 449118236 513277984 785956913 898236472 1026555968 1571913826 1796472944 3143827652 3592945888 6287655304 7185891776 12575310608 25150621216 50301242432