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48478962718272 = 263595591765439
BaseRepresentation
bin10110000010111011000110…
…10110100001011001000000
320100122112200021011111010210
423001131203112201121000
522323234403423441042
6251034532241354120
713132326614020512
oct1301354326413100
9210575607144123
1048478962718272
11144a08a3679659
12552b66a638940
132108714a70398
14bd8574001bb2
155910b0951a9c
hex2c17635a1640

48478962718272 has 112 divisors (see below), whose sum is σ = 130464777830400. Its totient is φ = 15882899735040.

The previous prime is 48478962718177. The next prime is 48478962718327. The reversal of 48478962718272 is 27281726987484.

It is a junction number, because it is equal to n+sod(n) for n = 48478962718194 and 48478962718203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62952129 + ... + 63717567.

Almost surely, 248478962718272 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 48478962718272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65232388915200).

48478962718272 is an abundant number, since it is smaller than the sum of its proper divisors (81985815112128).

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

48478962718272 is a wasteful number, since it uses less digits than its factorization.

48478962718272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771104 (or 771094 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 75.

The spelling of 48478962718272 in words is "forty-eight trillion, four hundred seventy-eight billion, nine hundred sixty-two million, seven hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5591 5664 11182 11328 16773 22364 33546 44728 67092 89456 134184 178912 268368 329869 357824 536736 659738 765439 989607 1073472 1319476 1530878 1979214 2296317 2638952 3061756 3958428 4592634 5277904 6123512 7916856 9185268 10555808 12247024 15833712 18370536 21111616 24494048 31667424 36741072 45160901 48988096 63334848 73482144 90321802 135482703 146964288 180643604 270965406 361287208 541930812 722574416 1083861624 1445148832 2167723248 2890297664 4279569449 4335446496 8559138898 8670892992 12838708347 17118277796 25677416694 34236555592 51354833388 68473111184 102709666776 136946222368 205419333552 252494597491 273892444736 410838667104 504989194982 757483792473 821677334208 1009978389964 1514967584946 2019956779928 3029935169892 4039913559856 6059870339784 8079827119712 12119740679568 16159654239424 24239481359136 48478962718272