Search a number
-
+
11230982784 = 273271392731
BaseRepresentation
bin10100111010110101…
…10011001010000000
31001222201002001001100
422131122303022000
5141000112422114
65054234534400
7545212531020
oct123532631200
931881061040
1011230982784
11484366265a
122215297400
13109ca3c058
14787839a80
1545aeb8909
hex29d6b3280

11230982784 has 96 divisors (see below), whose sum is σ = 36935252640. Its totient is φ = 3208849920.

The previous prime is 11230982779. The next prime is 11230982809. The reversal of 11230982784 is 48728903211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112309827842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688302 + ... + 704429.

It is an arithmetic number, because the mean of its divisors is an integer number (384742215).

Almost surely, 211230982784 is an apocalyptic number.

11230982784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11230982784 is an abundant number, since it is smaller than the sum of its proper divisors (25704269856).

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

11230982784 is a wasteful number, since it uses less digits than its factorization.

11230982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392758 (or 1392743 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11230982784 in words is "eleven billion, two hundred thirty million, nine hundred eighty-two thousand, seven hundred eighty-four".

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 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1392731 2785462 4178193 5570924 8356386 9749117 11141848 12534579 16712772 19498234 22283696 25069158 29247351 33425544 38996468 44567392 50138316 58494702 66851088 77992936 87742053 89134784 100276632 116989404 133702176 155985872 175484106 178269568 200553264 233978808 267404352 311971744 350968212 401106528 467957616 534808704 623943488 701936424 802213056 935915232 1247886976 1403872848 1604426112 1871830464 2807745696 3743660928 5615491392 11230982784