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4634034912 = 2532138913907
BaseRepresentation
bin1000101000011010…
…11100001011100000
3102221221202100211200
410110031130023200
533442303104122
62043455241200
7222556434603
oct42415341340
912857670750
104634034912
111a68879021
12a93b19200
1358b0a59c0
1431d63a33a
151c1c675ac
hex11435c2e0

4634034912 has 144 divisors (see below), whose sum is σ = 14352221520. Its totient is φ = 1409734656.

The previous prime is 4634034893. The next prime is 4634034949. The reversal of 4634034912 is 2194304364.

It is a happy number.

4634034912 is a `hidden beast` number, since 4 + 634 + 0 + 3 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326263 + ... + 340169.

It is an arithmetic number, because the mean of its divisors is an integer number (99668205).

Almost surely, 24634034912 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 4634034912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176110760).

4634034912 is an abundant number, since it is smaller than the sum of its proper divisors (9718186608).

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

4634034912 is a wasteful number, since it uses less digits than its factorization.

4634034912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4634034912 is about 68073.7461287389. The cubic root of 4634034912 is about 1667.1951329674.

The spelling of 4634034912 in words is "four billion, six hundred thirty-four million, thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 89 96 104 117 144 156 178 208 234 267 288 312 356 416 468 534 624 712 801 936 1068 1157 1248 1424 1602 1872 2136 2314 2848 3204 3471 3744 4272 4628 6408 6942 8544 9256 10413 12816 13884 13907 18512 20826 25632 27768 27814 37024 41652 41721 55536 55628 83304 83442 111072 111256 125163 166608 166884 180791 222512 250326 333216 333768 361582 445024 500652 542373 667536 723164 1001304 1084746 1237723 1335072 1446328 1627119 2002608 2169492 2475446 2892656 3254238 3713169 4005216 4338984 4950892 5785312 6508476 7426338 8677968 9901784 11139507 13016952 14852676 16090399 17355936 19803568 22279014 26033904 29705352 32180798 39607136 44558028 48271197 52067808 59410704 64361596 89116056 96542394 118821408 128723192 144813591 178232112 193084788 257446384 289627182 356464224 386169576 514892768 579254364 772339152 1158508728 1544678304 2317017456 4634034912