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4101669216 = 25321272883
BaseRepresentation
bin1111010001111010…
…1000000101100000
3101120212000101101200
43310132220011200
531400011403331
61515001001200
7203433420201
oct36436500540
911525011350
104101669216
111815315877
12965783200
135049cac08
142aca5b5a8
151901595e6
hexf47a8160

4101669216 has 108 divisors (see below), whose sum is σ = 11770002972. Its totient is φ = 1354921344.

The previous prime is 4101669191. The next prime is 4101669227. The reversal of 4101669216 is 6129661014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4644711 + ... + 4645593.

It is an arithmetic number, because the mean of its divisors is an integer number (108981509).

Almost surely, 24101669216 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 4101669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885001486).

4101669216 is an abundant number, since it is smaller than the sum of its proper divisors (7668333756).

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

4101669216 is a wasteful number, since it uses less digits than its factorization.

4101669216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4101669216 is about 64044.2754350457. The cubic root of 4101669216 is about 1600.7378388605.

The spelling of 4101669216 in words is "four billion, one hundred one million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 883 1016 1143 1524 1766 2032 2286 2649 3048 3532 4064 4572 5298 6096 7064 7947 9144 10596 12192 14128 15894 16129 18288 21192 28256 31788 32258 36576 42384 48387 63576 64516 84768 96774 112141 127152 129032 145161 193548 224282 254304 258064 290322 336423 387096 448564 516128 580644 672846 774192 897128 1009269 1161288 1345692 1548384 1794256 2018538 2322576 2691384 3588512 4037076 4645152 5382768 8074152 10765536 14241907 16148304 28483814 32296608 42725721 56967628 85451442 113935256 128177163 170902884 227870512 256354326 341805768 455741024 512708652 683611536 1025417304 1367223072 2050834608 4101669216