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4191419052 = 22323711327847
BaseRepresentation
bin1111100111010011…
…1111101010101100
3101211002220011000200
43321310333222230
532041000402202
61531524353500
7205603321422
oct37164775254
911732804020
104191419052
111860a46197
1298b845890
1351a493022
142ba941112
15197e86e1c
hexf9d3faac

4191419052 has 72 divisors (see below), whose sum is σ = 10978015776. Its totient is φ = 1347300864.

The previous prime is 4191419051. The next prime is 4191419069. The reversal of 4191419052 is 2509141914.

It is a happy number.

4191419052 is a `hidden beast` number, since 4 + 191 + 419 + 0 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4191418998 and 4191419016.

It is not an unprimeable number, because it can be changed into a prime (4191419051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136593 + ... + 164439.

Almost surely, 24191419052 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 4191419052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489007888).

4191419052 is an abundant number, since it is smaller than the sum of its proper divisors (6786596724).

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

4191419052 is a wasteful number, since it uses less digits than its factorization.

4191419052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28007 (or 28002 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 4191419052 is about 64741.1696835947. The cubic root of 4191419052 is about 1612.3291073987.

The spelling of 4191419052 in words is "four billion, one hundred ninety-one million, four hundred nineteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 2034 4068 4181 8362 12543 16724 25086 27847 37629 50172 55694 75258 83541 111388 150516 167082 250623 334164 501246 1002492 1030339 2060678 3091017 3146711 4121356 6182034 6293422 9273051 9440133 12364068 12586844 18546102 18880266 28320399 37092204 37760532 56640798 113281596 116428307 232856614 349284921 465713228 698569842 1047854763 1397139684 2095709526 4191419052