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4134366656 = 26723478537
BaseRepresentation
bin1111011001101101…
…0110110111000000
3101200010112120211222
43312123112313000
531431344213111
61522125454212
7204311352050
oct36633266700
911603476758
104134366656
111831818952
12974711368
1350b708904
142b312d560
15192e677db
hexf66d6dc0

4134366656 has 112 divisors (see below), whose sum is σ = 9993148416. Its totient is φ = 1658578944.

The previous prime is 4134366647. The next prime is 4134366659. The reversal of 4134366656 is 6566634314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134366659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480020 + ... + 488556.

Almost surely, 24134366656 is an apocalyptic number.

4134366656 is a gapful number since it is divisible by the number (46) 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 4134366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996574208).

4134366656 is an abundant number, since it is smaller than the sum of its proper divisors (5858781760).

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

4134366656 is a wasteful number, since it uses less digits than its factorization.

4134366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8626 (or 8616 counting only the distinct ones).

The product of its digits is 933120, while the sum is 44.

The square root of 4134366656 is about 64299.0408637641. The cubic root of 4134366656 is about 1604.9801411220.

The spelling of 4134366656 in words is "four billion, one hundred thirty-four million, three hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 161 184 188 224 322 329 368 376 448 644 658 736 752 1081 1288 1316 1472 1504 2162 2576 2632 3008 4324 5152 5264 7567 8537 8648 10304 10528 15134 17074 17296 21056 30268 34148 34592 59759 60536 68296 69184 119518 121072 136592 196351 239036 242144 273184 392702 401239 478072 484288 546368 785404 802478 956144 1374457 1570808 1604956 1912288 2748914 2808673 3141616 3209912 3824576 5497828 5617346 6283232 6419824 9228497 10995656 11234692 12566464 12839648 18456994 21991312 22469384 25679296 36913988 43982624 44938768 64599479 73827976 87965248 89877536 129198958 147655952 179755072 258397916 295311904 516795832 590623808 1033591664 2067183328 4134366656