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61222117383856 = 241113413797171881
BaseRepresentation
bin11011110101110011000101…
…00011110001111010110000
322000202202222121212010210201
431322321202203301322300
531011030344022240411
6334113015155204544
715616103066334232
oct1572714243617260
9260682877763721
1061222117383856
111856417722a030
126a4930b2a6754
1328212b4407380
14111924843a252
157127db3573c1
hex37ae628f1eb0

61222117383856 has 160 divisors (see below), whose sum is σ = 142792574815296. Its totient is φ = 25054328832000.

The previous prime is 61222117383829. The next prime is 61222117383881. The reversal of 61222117383856 is 65838371122216.

It is a junction number, because it is equal to n+sod(n) for n = 61222117383797 and 61222117383806.

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, 356103036 + ... + 356274916.

Almost surely, 261222117383856 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 61222117383856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71396287407648).

61222117383856 is an abundant number, since it is smaller than the sum of its proper divisors (81570457431440).

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

61222117383856 is a wasteful number, since it uses less digits than its factorization.

61222117383856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175751 (or 175745 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 61222117383856 in words is "sixty-one trillion, two hundred twenty-two billion, one hundred seventeen million, three hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 176 208 286 328 451 533 572 656 902 1066 1144 1804 2132 2288 3608 3797 4264 5863 7216 7594 8528 11726 15188 23452 30376 41767 46904 49361 60752 83534 93808 98722 155677 167068 171881 197444 311354 334136 343762 394888 542971 622708 668272 687524 789776 1085942 1245416 1375048 1712447 1890691 2023801 2171884 2234453 2490832 2750096 3424894 3781382 4047602 4343768 4468906 6849788 7047121 7562764 8095204 8687536 8937812 13699576 14094242 15125528 16190408 17875624 22261811 24578983 27399152 28188484 30251056 32380816 35751248 44523622 49157966 56376968 77518331 89047244 91612573 98315932 112753936 155036662 178094488 183225146 196631864 310073324 356188976 366450292 393263728 620146648 652632157 732900584 1007738303 1240293296 1305264314 1465801168 2015476606 2610528628 4030953212 5221057256 7178953727 8061906424 8484218041 10442114512 14357907454 16123812848 16968436082 26757918437 28715814908 33936872164 53515836874 57431629816 67873744328 93326398451 107031673748 114863259632 135747488656 186652796902 214063347496 294337102807 347852939681 373305593804 428126694992 588674205614 695705879362 746611187608 1177348411228 1391411758724 1493222375216 2354696822456 2782823517448 3826382336491 4709393644912 5565647034896 7652764672982 15305529345964 30611058691928 61222117383856