Search a number
-
+
8074386016 = 2529101277311
BaseRepresentation
bin1111000010100010…
…10101101001100000
3202211201101022022221
413201101111221200
5113014020323031
63413114040424
7404043102004
oct74121255140
922751338287
108074386016
1134738647a4
121694119114
139b8a89108
1456850c704
15323ce0a11
hex1e1455a60

8074386016 has 96 divisors (see below), whose sum is σ = 16720966080. Its totient is φ = 3833088000.

The previous prime is 8074385993. The next prime is 8074386029. The reversal of 8074386016 is 6106834708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25962501 + ... + 25962811.

It is an arithmetic number, because the mean of its divisors is an integer number (174176730).

Almost surely, 28074386016 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 8074386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360483040).

8074386016 is an abundant number, since it is smaller than the sum of its proper divisors (8646580064).

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

8074386016 is a wasteful number, since it uses less digits than its factorization.

8074386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 8074386016 is about 89857.5874147531. The cubic root of 8074386016 is about 2006.1797205274.

The spelling of 8074386016 in words is "eight billion, seventy-four million, three hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 101 116 202 232 277 311 404 464 554 622 808 928 1108 1244 1616 2216 2488 2929 3232 4432 4976 5858 8033 8864 9019 9952 11716 16066 18038 23432 27977 31411 32132 36076 46864 55954 62822 64264 72152 86147 93728 111908 125644 128528 144304 172294 223816 251288 257056 288608 344588 447632 502576 689176 811333 895264 910919 1005152 1378352 1622666 1821838 2498263 2756704 3245332 3643676 4996526 6490664 7287352 8700847 9993052 12981328 14574704 17401694 19986104 25962656 29149408 34803388 39972208 69606776 79944416 139213552 252324563 278427104 504649126 1009298252 2018596504 4037193008 8074386016