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48090514320 = 2433575729411
BaseRepresentation
bin101100110010011010…
…110000001110010000
311121010111210020201000
4230302122300032100
51241442132424240
634031550342000
73321504425052
oct546232601620
9147114706630
1048090514320
1119438929212
1293a14ba900
1346c5297744
142482cb78d2
1513b6e11430
hexb326b0390

48090514320 has 160 divisors (see below), whose sum is σ = 165869562240. Its totient is φ = 12806760960.

The previous prime is 48090514301. The next prime is 48090514331. The reversal of 48090514320 is 2341509084.

48090514320 is a `hidden beast` number, since 480 + 90 + 51 + 43 + 2 + 0 = 666.

It is a super-3 number, since 3×480905143203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1620415 + ... + 1649825.

It is an arithmetic number, because the mean of its divisors is an integer number (1036684764).

Almost surely, 248090514320 is an apocalyptic number.

48090514320 is a gapful number since it is divisible by the number (40) 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 48090514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82934781120).

48090514320 is an abundant number, since it is smaller than the sum of its proper divisors (117779047920).

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

48090514320 is a wasteful number, since it uses less digits than its factorization.

48090514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30190 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 48090514320 in words is "forty-eight billion, ninety million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 757 1080 1514 2160 2271 3028 3785 4542 6056 6813 7570 9084 11355 12112 13626 15140 18168 20439 22710 27252 29411 30280 34065 36336 40878 45420 54504 58822 60560 68130 81756 88233 90840 102195 109008 117644 136260 147055 163512 176466 181680 204390 235288 264699 272520 294110 327024 352932 408780 441165 470576 529398 545040 588220 705864 794097 817560 882330 1058796 1176440 1323495 1411728 1588194 1635120 1764660 2117592 2352880 2646990 3176388 3529320 3970485 4235184 5293980 6352776 7058640 7940970 10587960 12705552 15881940 21175920 22264127 31763880 44528254 63527760 66792381 89056508 111320635 133584762 178113016 200377143 222641270 267169524 333961905 356226032 400754286 445282540 534339048 601131429 667923810 801508572 890565080 1001885715 1068678096 1202262858 1335847620 1603017144 1781130160 2003771430 2404525716 2671695240 3005657145 3206034288 4007542860 4809051432 5343390480 6011314290 8015085720 9618102864 12022628580 16030171440 24045257160 48090514320