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4113342984204 = 22331719311160219
BaseRepresentation
bin111011110110110110010…
…110001111000000001100
3112120020020221111212112000
4323312312112033000030
51014343111300443304
612425351011312300
7603115321323156
oct73666626170014
915506227455460
104113342984204
111346505975243
1256523a2ab690
1323ab6aa778ac
141031304cbad6
1571ee67e6939
hex3bdb658f00c

4113342984204 has 96 divisors (see below), whose sum is σ = 11297387001600. Its totient is φ = 1289791146240.

The previous prime is 4113342984161. The next prime is 4113342984217. The reversal of 4113342984204 is 4024892433114.

4113342984204 is a `hidden beast` number, since 4 + 1 + 1 + 334 + 298 + 4 + 20 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4113342984204.

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, 2965207 + ... + 4125425.

It is an arithmetic number, because the mean of its divisors is an integer number (117681114600).

Almost surely, 24113342984204 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 4113342984204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648693500800).

4113342984204 is an abundant number, since it is smaller than the sum of its proper divisors (7184044017396).

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

4113342984204 is a wasteful number, since it uses less digits than its factorization.

4113342984204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162180 (or 1162172 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4113342984204 in words is "four trillion, one hundred thirteen billion, three hundred forty-two million, nine hundred eighty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 1931 3862 5793 7724 11586 17379 23172 32827 34758 52137 65654 69516 98481 104274 131308 196962 208548 295443 393924 590886 886329 1160219 1181772 1772658 2320438 3480657 3545316 4640876 6961314 10441971 13922628 19723723 20883942 31325913 39447446 41767884 59171169 62651826 78894892 118342338 125303652 177513507 236684676 355027014 532540521 710054028 1065081042 2130162084 2240382889 4480765778 6721148667 8961531556 13442297334 20163446001 26884594668 38086509113 40326892002 60490338003 76173018226 80653784004 114259527339 120980676006 152346036452 228519054678 241961352012 342778582017 457038109356 685557164034 1028335746051 1371114328068 2056671492102 4113342984204