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5466403237632 = 283231073928817
BaseRepresentation
bin100111110001011111100…
…0001011110111100000000
3201100120202001002110212120
41033202333001132330000
51204030143212101012
615343121520324240
71102635365604141
oct117427701367400
921316661073776
105466403237632
11181831a134147
12743513473680
1330863093169c
1414c80a9b5ac8
15972d8aa858c
hex4f8bf05ef00

5466403237632 has 144 divisors (see below), whose sum is σ = 15183092977920. Its totient is φ = 1742688403456.

The previous prime is 5466403237577. The next prime is 5466403237657. The reversal of 5466403237632 is 2367323046645.

It is a super-2 number, since 2×54664032376322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189679288 + ... + 189708104.

It is an arithmetic number, because the mean of its divisors is an integer number (105438145680).

Almost surely, 25466403237632 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 5466403237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591546488960).

5466403237632 is an abundant number, since it is smaller than the sum of its proper divisors (9716689740288).

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

5466403237632 is a wasteful number, since it uses less digits than its factorization.

5466403237632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39598 (or 39584 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 51.

The spelling of 5466403237632 in words is "five trillion, four hundred sixty-six billion, four hundred three million, two hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 10739 17664 21478 28817 32217 42956 57634 64434 85912 86451 115268 128868 171824 172902 230536 246997 257736 343648 345804 461072 493994 515472 662791 687296 691608 740991 922144 987988 1030944 1325582 1374592 1383216 1481982 1844288 1975976 1988373 2061888 2651164 2749184 2766432 2963964 3688576 3951952 3976746 4123776 5302328 5532864 5927928 7377152 7903904 7953492 8247552 10604656 11065728 11855856 15807808 15906984 21209312 22131456 23711712 31615616 31813968 42418624 47423424 63231232 63627936 84837248 94846848 127255872 169674496 189693696 254511744 309465763 509023488 618931526 928397289 1237863052 1856794578 2475726104 3713589156 4951452208 7117712549 7427178312 9902904416 14235425098 14854356624 19805808832 21353137647 28470850196 29708713248 39611617664 42706275294 56941700392 59417426496 79223235328 85412550588 113883400784 118834852992 170825101176 227766801568 237669705984 341650202352 455533603136 683300404704 911067206272 1366600809408 1822134412544 2733201618816 5466403237632