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42404220096 = 2637171855927
BaseRepresentation
bin100111011111011111…
…010000110011000000
311001110020000120110020
4213133133100303000
51143320440020341
631251421333440
73030546631560
oct473737206300
9131406016406
1042404220096
1116a900931a7
128275107280
133cca1b7cc4
1420a3a08da0
151182ae3566
hex9df7d0cc0

42404220096 has 112 divisors (see below), whose sum is σ = 135764845056. Its totient is φ = 11402809344.

The previous prime is 42404220031. The next prime is 42404220097. The reversal of 42404220096 is 69002240424.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (42404220097) by changing a digit.

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, 905116 + ... + 950811.

Almost surely, 242404220096 is an apocalyptic number.

It is an amenable number.

42404220096 is an abundant number, since it is smaller than the sum of its proper divisors (93360624960).

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

42404220096 is a wasteful number, since it uses less digits than its factorization.

42404220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855966 (or 1855956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 42404220096 in words is "forty-two billion, four hundred four million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 1855927 3711854 5567781 7423708 11135562 12991489 14847416 22271124 25982978 29694832 31550759 38974467 44542248 51965956 59389664 63101518 77948934 89084496 94652277 103931912 118779328 126203036 155897868 178168992 189304554 207863824 220855313 252406072 311795736 356337984 378609108 415727648 441710626 504812144 623591472 662565939 757218216 831455296 883421252 1009624288 1247182944 1325131878 1514436432 1766842504 2019248576 2494365888 2650263756 3028872864 3533685008 5300527512 6057745728 7067370016 10601055024 14134740032 21202110048 42404220096