Search a number
-
+
11172416473064 = 2371141968363377
BaseRepresentation
bin1010001010010100011111…
…1010100100011111101000
31110120001221220200000022002
42202211013322210133220
52431022102104114224
635432312014550132
72232115616054420
oct242450772443750
943501856600262
1011172416473064
113618216920060
121305357808348
13630728bb3a52
142a8a68119480
151459482319ae
hexa2947ea47e8

11172416473064 has 128 divisors (see below), whose sum is σ = 26218413849600. Its totient is φ = 4336074378240.

The previous prime is 11172416473063. The next prime is 11172416473067. The reversal of 11172416473064 is 46037461427111.

11172416473064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11172416473063) 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, 176253344 + ... + 176316720.

It is an arithmetic number, because the mean of its divisors is an integer number (204831358200).

Almost surely, 211172416473064 is an apocalyptic number.

11172416473064 is a gapful number since it is divisible by the number (14) 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 11172416473064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109206924800).

11172416473064 is an abundant number, since it is smaller than the sum of its proper divisors (15045997376536).

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

11172416473064 is a wasteful number, since it uses less digits than its factorization.

11172416473064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64503 (or 64499 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 11172416473064 in words is "eleven trillion, one hundred seventy-two billion, four hundred sixteen million, four hundred seventy-three thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 419 616 683 838 1366 1676 2732 2933 3352 4609 4781 5464 5866 7513 9218 9562 11732 15026 18436 19124 23464 30052 32263 36872 38248 52591 60104 63377 64526 105182 126754 129052 210364 253508 258104 286177 420728 443639 507016 572354 697147 887278 1144708 1394294 1774556 2003239 2289416 2788588 3147947 3549112 4006478 4880029 5577176 6295894 8012956 9760058 12591788 16025912 19520116 22035629 25183576 26554963 39040232 43286491 44071258 53109926 86572982 88142516 106219852 173145964 176285032 185884741 212439704 292104593 303005437 346291928 371769482 476151401 584209186 606010874 743538964 952302802 1168418372 1212021748 1487077928 1904605604 2044732151 2336836744 2424043496 3333059807 3809211208 4089464302 6666119614 8178928604 13332239228 16357857208 18137039729 26664478456 36274079458 72548158916 126959278103 145096317832 199507437019 253918556206 399014874038 507837112412 798029748076 1015674224824 1396552059133 1596059496152 2793104118266 5586208236532 11172416473064