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4136606672 = 241122392899
BaseRepresentation
bin1111011010001111…
…1001101111010000
3101200021202101120112
43312203321233100
531432432403142
61522245500452
7204336401522
oct36643715720
911607671515
104136606672
111833008900
12975411728
1350c011373
142b3553a12
1519325b382
hexf68f9bd0

4136606672 has 60 divisors (see below), whose sum is σ = 9192640800. Its totient is φ = 1798505280.

The previous prime is 4136606659. The next prime is 4136606693. The reversal of 4136606672 is 2766066314.

It is a super-2 number, since 2×41366066722 = 34223029517669831168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1922 + ... + 90977.

It is an arithmetic number, because the mean of its divisors is an integer number (153210680).

Almost surely, 24136606672 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 4136606672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596320400).

4136606672 is an abundant number, since it is smaller than the sum of its proper divisors (5056034128).

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

4136606672 is a wasteful number, since it uses less digits than its factorization.

4136606672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92952 (or 92935 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 4136606672 is about 64316.4572407405. The cubic root of 4136606672 is about 1605.2699502911.

The spelling of 4136606672 in words is "four billion, one hundred thirty-six million, six hundred six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1936 2024 2783 4048 5566 11132 22264 44528 92899 185798 371596 743192 1021889 1486384 2043778 2136677 4087556 4273354 8175112 8546708 11240779 16350224 17093416 22481558 23503447 34186832 44963116 47006894 89926232 94013788 179852464 188027576 258537917 376055152 517075834 1034151668 2068303336 4136606672