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48324137983744 = 287731073452387
BaseRepresentation
bin10101111110011010101110…
…00101000001111100000000
320100002202001021010001201211
422333031113011001330000
522313220313310434434
6250435445202135504
713115206121341030
oct1277152705017400
9210082037101654
1048324137983744
11144411740a1aa7
125505660051594
1320c6c3ca6922c
14bd0c879738c0
1558c04d4db464
hex2bf357141f00

48324137983744 has 144 divisors (see below), whose sum is σ = 112793990254848. Its totient is φ = 20235732443136.

The previous prime is 48324137983741. The next prime is 48324137983883. The reversal of 48324137983744 is 44738973142384.

It is a self number, because there is not a number n which added to its sum of digits gives 48324137983744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48324137983741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12271119 + ... + 15723505.

It is an arithmetic number, because the mean of its divisors is an integer number (783291598992).

Almost surely, 248324137983744 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 48324137983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56396995127424).

48324137983744 is an abundant number, since it is smaller than the sum of its proper divisors (64469852271104).

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

48324137983744 is a wasteful number, since it uses less digits than its factorization.

48324137983744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452590 (or 3452576 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 67.

The spelling of 48324137983744 in words is "forty-eight trillion, three hundred twenty-four billion, one hundred thirty-seven million, nine hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 107 112 128 146 214 224 256 292 428 448 511 584 749 856 896 1022 1168 1498 1712 1792 2044 2336 2996 3424 4088 4672 5992 6848 7811 8176 9344 11984 13696 15622 16352 18688 23968 27392 31244 32704 47936 54677 62488 65408 95872 109354 124976 130816 191744 218708 249952 437416 499904 874832 999808 1749664 1999616 3452387 3499328 6904774 6998656 13809548 13997312 24166709 27619096 48333418 55238192 96666836 110476384 193333672 220952768 252024251 369405409 386667344 441905536 504048502 738810818 773334688 883811072 1008097004 1477621636 1546669376 1764169757 2016194008 2585837863 2955243272 3093338752 3528339514 4032388016 5171675726 5910486544 6186677504 7056679028 8064776032 10343351452 11820973088 14113358056 16129552064 20686702904 23641946176 26966594857 28226716112 32259104128 41373405808 47283892352 53933189714 56453432224 64518208256 82746811616 94567784704 107866379428 112906864448 165493623232 188766163999 215732758856 225813728896 330987246464 377532327998 431465517712 451627457792 661974492928 755064655996 862931035424 1510129311992 1725862070848 3020258623984 3451724141696 6040517247968 6903448283392 12081034495936 24162068991872 48324137983744