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4136343516 = 2233313733391
BaseRepresentation
bin1111011010001011…
…1001011111011100
3101200021021000121000
43312202321133130
531432400443031
61522240110300
7204334224354
oct36642713734
911607230530
104136343516
111832949118
12975305390
1350bc4b656
142b34c5b64
151932083e6
hexf68b97dc

4136343516 has 96 divisors (see below), whose sum is σ = 11369308160. Its totient is φ = 1298203200.

The previous prime is 4136343499. The next prime is 4136343517. The reversal of 4136343516 is 6153436314.

4136343516 is a `hidden beast` number, since 4 + 1 + 3 + 634 + 3 + 5 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136343517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107181 + ... + 140571.

Almost surely, 24136343516 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 4136343516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684654080).

4136343516 is an abundant number, since it is smaller than the sum of its proper divisors (7232964644).

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

4136343516 is a wasteful number, since it uses less digits than its factorization.

4136343516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472 (or 33464 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 4136343516 is about 64314.4114176597. The cubic root of 4136343516 is about 1605.2359090740.

The spelling of 4136343516 in words is "four billion, one hundred thirty-six million, three hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 333 372 444 558 666 837 999 1116 1147 1332 1674 1998 2294 3348 3441 3996 4588 6882 10323 13764 20646 30969 33391 41292 61938 66782 100173 123876 133564 200346 300519 400692 601038 901557 1035121 1202076 1235467 1803114 2070242 2470934 3105363 3606228 3706401 4140484 4941868 6210726 7412802 9316089 11119203 12421452 14825604 18632178 22238406 27948267 33357609 37264356 38299477 44476812 55896534 66715218 76598954 111793068 114898431 133430436 153197908 229796862 344695293 459593724 689390586 1034085879 1378781172 2068171758 4136343516