Search a number
-
+
4236064128 = 2734478693
BaseRepresentation
bin1111110001111101…
…0011010110000000
3101221012220100120000
43330133103112000
532133413023003
61540201320000
7206654644122
oct37437232600
911835810500
104236064128
11188416974a
129a2796000
135267c4c2a
142c2843212
1519bd551a3
hexfc7d3580

4236064128 has 160 divisors (see below), whose sum is σ = 12876161760. Its totient is φ = 1381819392.

The previous prime is 4236064087. The next prime is 4236064139. The reversal of 4236064128 is 8214606324.

4236064128 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 0 + 641 + 2 + 8 = 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 = 4236064092 and 4236064101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 482950 + ... + 491642.

It is an arithmetic number, because the mean of its divisors is an integer number (80476011).

Almost surely, 24236064128 is an apocalyptic number.

4236064128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4236064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438080880).

4236064128 is an abundant number, since it is smaller than the sum of its proper divisors (8640097632).

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

4236064128 is an equidigital number, since it uses as much as digits as its factorization.

4236064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4236064128 is about 65085.0530306306. The cubic root of 4236064128 is about 1618.0334986237.

The spelling of 4236064128 in words is "four billion, two hundred thirty-six million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3456 3807 4512 5076 5184 6016 6768 7614 8693 9024 10152 10368 13536 15228 17386 18048 20304 26079 27072 30456 34772 40608 52158 54144 60912 69544 78237 81216 104316 121824 139088 156474 162432 208632 234711 243648 278176 312948 408571 417264 469422 487296 556352 625896 704133 817142 834528 938844 1112704 1225713 1251792 1408266 1634284 1669056 1877688 2451426 2503584 2816532 3268568 3338112 3677139 3755376 4902852 5007168 5633064 6537136 7354278 7510752 9805704 10014336 11031417 11266128 13074272 14708556 15021504 19611408 22062834 22532256 26148544 29417112 30043008 33094251 39222816 44125668 45064512 52297088 58834224 66188502 78445632 88251336 90129024 117668448 132377004 156891264 176502672 235336896 264754008 353005344 470673792 529508016 706010688 1059016032 1412021376 2118032064 4236064128