Search a number
-
+
11883092688 = 24355357667
BaseRepresentation
bin10110001000100100…
…11001101011010000
31010200011010122200000
423010102121223100
5143314032431223
65243051530000
7600321423045
oct130422315320
933604118600
1011883092688
115048772465
122377759900
131174b814bc
1480a2a91cc
1549837b543
hex2c4499ad0

11883092688 has 120 divisors (see below), whose sum is σ = 35139188448. Its totient is φ = 3886227072.

The previous prime is 11883092647. The next prime is 11883092717. The reversal of 11883092688 is 88629038811.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177231 + ... + 234897.

Almost surely, 211883092688 is an apocalyptic number.

11883092688 is a gapful number since it is divisible by the number (18) 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 11883092688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569594224).

11883092688 is an abundant number, since it is smaller than the sum of its proper divisors (23256095760).

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

11883092688 is an equidigital number, since it uses as much as digits as its factorization.

11883092688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57743 (or 57725 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 11883092688 in words is "eleven billion, eight hundred eighty-three million, ninety-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1272 1296 1431 1908 1944 2544 2862 3816 3888 4293 5724 7632 8586 11448 12879 17172 22896 25758 34344 51516 57667 68688 103032 115334 173001 206064 230668 346002 461336 519003 692004 922672 1038006 1384008 1557009 2076012 2768016 3056351 3114018 4152024 4671027 6112702 6228036 8304048 9169053 9342054 12225404 12456072 14013081 18338106 18684108 24450808 24912144 27507159 28026162 36676212 37368216 48901616 55014318 56052324 73352424 74736432 82521477 110028636 112104648 146704848 165042954 220057272 224209296 247564431 330085908 440114544 495128862 660171816 742693293 990257724 1320343632 1485386586 1980515448 2970773172 3961030896 5941546344 11883092688