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49687884432 = 2434208918353
BaseRepresentation
bin101110010001101000…
…001111001010010000
311202020211112001120000
4232101220033022100
51303230044300212
634454251450000
73406212022554
oct562150171220
9152224461500
1049687884432
111a088573aaa
129768456900
1348bb1bc464
1425950c5864
15145c2911dc
hexb91a0f290

49687884432 has 100 divisors (see below), whose sum is σ = 143887834860. Its totient is φ = 16553797632.

The previous prime is 49687884431. The next prime is 49687884443. The reversal of 49687884432 is 23448878694.

49687884432 is a `hidden beast` number, since 49 + 6 + 87 + 8 + 84 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20026778256 + 29661106176 = 141516^2 + 172224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49687884432.

It is not an unprimeable number, because it can be changed into a prime (49687884431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2698168 + ... + 2716520.

Almost surely, 249687884432 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 49687884432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943917430).

49687884432 is an abundant number, since it is smaller than the sum of its proper divisors (94199950428).

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

49687884432 is a wasteful number, since it uses less digits than its factorization.

49687884432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 20447 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 49687884432 in words is "forty-nine billion, six hundred eighty-seven million, eight hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2089 4178 6267 8356 12534 16712 18353 18801 25068 33424 36706 37602 50136 55059 56403 73412 75204 100272 110118 112806 146824 150408 165177 169209 220236 225612 293648 300816 330354 338418 440472 451224 495531 660708 676836 880944 902448 991062 1321416 1353672 1486593 1982124 2642832 2707344 2973186 3964248 5946372 7928496 11892744 23785488 38339417 76678834 115018251 153357668 230036502 306715336 345054753 460073004 613430672 690109506 920146008 1035164259 1380219012 1840292016 2070328518 2760438024 3105492777 4140657036 5520876048 6210985554 8281314072 12421971108 16562628144 24843942216 49687884432