Search a number
-
+
49069644768 = 25322371910303
BaseRepresentation
bin101101101100110001…
…110101101111100000
311200122202012020011200
4231230301311233200
51300443312113033
634313044441200
73354664045554
oct555461655740
9150582166150
1049069644768
11198a0598431
1296153a9200
1348200a8781
142536d51864
151422d6e013
hexb6cc75be0

49069644768 has 144 divisors (see below), whose sum is σ = 145825505280. Its totient is φ = 15622117632.

The previous prime is 49069644751. The next prime is 49069644787. The reversal of 49069644768 is 86744696094.

49069644768 is a `hidden beast` number, since 49 + 0 + 6 + 96 + 447 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757505 + ... + 4767807.

It is an arithmetic number, because the mean of its divisors is an integer number (1012677120).

Almost surely, 249069644768 is an apocalyptic number.

49069644768 is a gapful number since it is divisible by the number (48) 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 49069644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912752640).

49069644768 is an abundant number, since it is smaller than the sum of its proper divisors (96755860512).

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

49069644768 is a wasteful number, since it uses less digits than its factorization.

49069644768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 49069644768 in words is "forty-nine billion, sixty-nine million, six hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 719 736 828 1104 1438 1656 2157 2208 2876 3312 4314 5752 6471 6624 8628 10303 11504 12942 16537 17256 20606 23008 25884 30909 33074 34512 41212 49611 51768 61818 66148 69024 82424 92727 99222 103536 123636 132296 148833 164848 185454 198444 207072 236969 247272 264592 297666 329696 370908 396888 473938 494544 529184 595332 710907 741816 793776 947876 989088 1190664 1421814 1483632 1587552 1895752 2132721 2381328 2843628 2967264 3791504 4265442 4762656 5687256 7407857 7583008 8530884 11374512 14815714 17061768 22223571 22749024 29631428 34123536 44447142 59262856 66670713 68247072 88894284 118525712 133341426 170380711 177788568 237051424 266682852 340761422 355577136 511142133 533365704 681522844 711154272 1022284266 1066731408 1363045688 1533426399 2044568532 2133462816 2726091376 3066852798 4089137064 5452182752 6133705596 8178274128 12267411192 16356548256 24534822384 49069644768