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11312065404 = 223217157117731
BaseRepresentation
bin10101000100100000…
…00110101101111100
31002012100122110111100
422202100012231330
5141131342043104
65110252453100
7550215653343
oct124220065574
932170573440
1011312065404
114885403192
12223847a190
1310b378b133
14794504b5a
15463183139
hex2a2406b7c

11312065404 has 72 divisors (see below), whose sum is σ = 30469512528. Its totient is φ = 3526248960.

The previous prime is 11312065363. The next prime is 11312065417. The reversal of 11312065404 is 40456021311.

It is a happy number.

11312065404 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 0 + 654 + 0 + 4 = 666.

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, 37219 + ... + 154949.

It is an arithmetic number, because the mean of its divisors is an integer number (423187674).

Almost surely, 211312065404 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 11312065404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234756264).

11312065404 is an abundant number, since it is smaller than the sum of its proper divisors (19157447124).

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

11312065404 is a wasteful number, since it uses less digits than its factorization.

11312065404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117915 (or 117910 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11312065404 its reverse (40456021311), we get a palindrome (51768086715).

The spelling of 11312065404 in words is "eleven billion, three hundred twelve million, sixty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 306 314 471 612 628 942 1413 1884 2669 2826 5338 5652 8007 10676 16014 24021 32028 48042 96084 117731 235462 353193 470924 706386 1059579 1412772 2001427 2119158 4002854 4238316 6004281 8005708 12008562 18012843 18483767 24017124 36025686 36967534 55451301 72051372 73935068 110902602 166353903 221805204 314224039 332707806 628448078 665415612 942672117 1256896156 1885344234 2828016351 3770688468 5656032702 11312065404