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6055001105736 = 23311277102181097
BaseRepresentation
bin101100000011100101000…
…1100001010010101001000
3210102212000102211012212110
41120013022030022111020
51243201120240340421
620513343515342320
71163313400125132
oct130071214122510
923385012735773
106055001105736
111a24a032a8240
128195bb7519a0
1334bca425778b
1416d0c67cc052
15a7787901a76
hex581ca30a548

6055001105736 has 128 divisors (see below), whose sum is σ = 16589692344960. Its totient is φ = 1826411673600.

The previous prime is 6055001105719. The next prime is 6055001105843. The reversal of 6055001105736 is 6375011005506.

It is a junction number, because it is equal to n+sod(n) for n = 6055001105694 and 6055001105703.

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, 74623140 + ... + 74704236.

It is an arithmetic number, because the mean of its divisors is an integer number (129606971445).

Almost surely, 26055001105736 is an apocalyptic number.

6055001105736 is a gapful number since it is divisible by the number (66) 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 6055001105736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294846172480).

6055001105736 is an abundant number, since it is smaller than the sum of its proper divisors (10534691239224).

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

6055001105736 is a wasteful number, since it uses less digits than its factorization.

6055001105736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82415 (or 82411 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 6055001105736 in words is "six trillion, fifty-five billion, one million, one hundred five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 277 554 831 1021 1108 1662 2042 2216 3047 3063 3324 4084 6094 6126 6648 8168 9141 11231 12188 12252 18282 22462 24376 24504 33693 36564 44924 67386 73128 81097 89848 134772 162194 243291 269544 282817 324388 486582 565634 648776 848451 892067 973164 1131268 1696902 1784134 1946328 2262536 2676201 3110987 3393804 3568268 5352402 6221974 6787608 7136536 9332961 10704804 12443948 18665922 21409608 22463869 24887896 37331844 44927738 67391607 74663688 82800037 89855476 134783214 165600074 179710952 247102559 248400111 269566428 331200148 494205118 496800222 539132856 662400296 741307677 910800407 988410236 993600444 1482615354 1821600814 1976820472 1987200888 2732401221 2965230708 3643201628 5464802442 5930461416 7286403256 10929604884 21859209768 22935610249 45871220498 68806830747 91742440996 137613661494 183484881992 252291712739 275227322988 504583425478 550454645976 756875138217 1009166850956 1513750276434 2018333701912 3027500552868 6055001105736