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49821163728 = 24371923932653
BaseRepresentation
bin101110011001100100…
…101010000011010000
311202121010022100101020
4232121210222003100
51304013204214403
634515412235440
73412420622130
oct563144520320
9152533270336
1049821163728
111a146825786
1297a500bb80
13490c9b574b
1425a8a9aac0
151468d1b453
hexb9992a0d0

49821163728 has 160 divisors (see below), whose sum is σ = 155485286400. Its totient is φ = 13428592128.

The previous prime is 49821163681. The next prime is 49821163751. The reversal of 49821163728 is 82736112894.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509450 + ... + 1542102.

It is an arithmetic number, because the mean of its divisors is an integer number (971783040).

Almost surely, 249821163728 is an apocalyptic number.

49821163728 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 49821163728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77742643200).

49821163728 is an abundant number, since it is smaller than the sum of its proper divisors (105664122672).

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

49821163728 is a wasteful number, since it uses less digits than its factorization.

49821163728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32929 (or 32923 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 49821163728 in words is "forty-nine billion, eight hundred twenty-one million, one hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 239 266 304 336 399 456 478 532 717 798 912 956 1064 1434 1596 1673 1912 2128 2868 3192 3346 3824 4541 5019 5736 6384 6692 9082 10038 11472 13384 13623 18164 20076 26768 27246 31787 32653 36328 40152 54492 63574 65306 72656 80304 95361 97959 108984 127148 130612 190722 195918 217968 228571 254296 261224 381444 391836 457142 508592 522448 620407 685713 762888 783672 914284 1240814 1371426 1525776 1567344 1828568 1861221 2481628 2742852 3657136 3722442 4342849 4963256 5485704 7444884 7804067 8685698 9926512 10971408 13028547 14889768 15608134 17371396 23412201 26057094 29779536 31216268 34742792 46824402 52114188 54628469 62432536 69485584 93648804 104228376 109256938 124865072 148277273 163885407 187297608 208456752 218513876 296554546 327770814 374595216 437027752 444831819 593109092 655541628 874055504 889663638 1037940911 1186218184 1311083256 1779327276 2075881822 2372436368 2622166512 3113822733 3558654552 4151763644 6227645466 7117309104 8303527288 12455290932 16607054576 24910581864 49821163728