Search a number
-
+
11059679232 = 21232742859
BaseRepresentation
bin10100100110011010…
…10101000000000000
31001112202201220202100
422103031111000000
5140122234213412
65025235150400
7541032502530
oct122315250000
931482656670
1011059679232
11476599a778
122187a45400
1310733c15c4
1476cba74c0
1544ae2bedc
hex293355000

11059679232 has 156 divisors (see below), whose sum is σ = 36510891040. Its totient is φ = 3159834624.

The previous prime is 11059679219. The next prime is 11059679243. The reversal of 11059679232 is 23297695011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236619 + ... + 279477.

Almost surely, 211059679232 is an apocalyptic number.

11059679232 is a gapful number since it is divisible by the number (12) 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 11059679232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255445520).

11059679232 is an abundant number, since it is smaller than the sum of its proper divisors (25451211808).

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

11059679232 is an equidigital number, since it uses as much as digits as its factorization.

11059679232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42896 (or 42871 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11059679232 in words is "eleven billion, fifty-nine million, six hundred seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 42859 43008 64512 85718 86016 128577 129024 171436 257154 258048 300013 342872 385731 514308 600026 685744 771462 900039 1028616 1200052 1371488 1542924 1800078 2057232 2400104 2700117 2742976 3085848 3600156 4114464 4800208 5400234 5485952 6171696 7200312 8228928 9600416 10800468 10971904 12343392 14400624 16457856 19200832 21600936 21943808 24686784 28801248 32915712 38401664 43201872 43887616 49373568 57602496 65831424 76803328 86403744 87775232 98747136 115204992 131662848 153606656 172807488 175550464 197494272 230409984 263325696 307213312 345614976 394988544 460819968 526651392 614426624 691229952 789977088 921639936 1228853248 1382459904 1579954176 1843279872 2764919808 3686559744 5529839616 11059679232