Search a number
-
+
4011076726716 = 22323411487238373
BaseRepresentation
bin111010010111100110110…
…011011010111110111100
3112012110021211111201102210
4322113212303122332330
51011204141120223331
612310355130420420
7562535135430033
oct72274663327674
915173254451383
104011076726716
1113070a7275374
12549459591710
132313208a85b7
14dc1cc4a371a
156e50d653446
hex3a5e6cdafbc

4011076726716 has 96 divisors (see below), whose sum is σ = 10011067250688. Its totient is φ = 1246857187840.

The previous prime is 4011076726711. The next prime is 4011076726729. The reversal of 4011076726716 is 6176276701104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011076726711) 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, 16707706 + ... + 16946078.

It is an arithmetic number, because the mean of its divisors is an integer number (104281950528).

Almost surely, 24011076726716 is an apocalyptic number.

4011076726716 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 4011076726716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005533625344).

4011076726716 is an abundant number, since it is smaller than the sum of its proper divisors (5999990523972).

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

4011076726716 is a wasteful number, since it uses less digits than its factorization.

4011076726716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239931 (or 239929 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 4011076726716 in words is "four trillion, eleven billion, seventy-six million, seven hundred twenty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1487 1886 2829 2974 3772 4461 5658 5948 8922 11316 17844 34201 60967 68402 102603 121934 136804 182901 205206 238373 243868 365802 410412 476746 715119 731604 953492 1402241 1430238 2804482 2860476 4206723 5482579 5608964 8413446 9773293 10965158 16447737 16826892 19546586 21930316 29319879 32895474 39093172 58639758 65790948 117279516 224785739 354460651 449571478 674357217 708921302 899142956 1063381953 1348714434 1417842604 2126763906 2697428868 4253527812 8152594973 14532886691 16305189946 24457784919 29065773382 32610379892 43598660073 48915569838 58131546764 87197320146 97831139676 174394640292 334256393893 668512787786 1002769181679 1337025575572 2005538363358 4011076726716