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11073123432 = 2332771930557
BaseRepresentation
bin10100101000000001…
…00111010001101000
31001120201000221201200
422110000213101220
5140134204422212
65030435244200
7541254665460
oct122400472150
931521027650
1011073123432
114772542588
122190449660
13107611aa57
147708a6ba0
1544c1d56dc
hex294027468

11073123432 has 96 divisors (see below), whose sum is σ = 34322745600. Its totient is φ = 3159245952.

The previous prime is 11073123409. The next prime is 11073123469. The reversal of 11073123432 is 23432137011.

It is a happy number.

11073123432 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 312 + 343 + 2 = 666.

It is a super-2 number, since 2×110731234322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11073123396 and 11073123405.

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, 347098 + ... + 377654.

It is an arithmetic number, because the mean of its divisors is an integer number (357528600).

Almost surely, 211073123432 is an apocalyptic number.

11073123432 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 11073123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161372800).

11073123432 is an abundant number, since it is smaller than the sum of its proper divisors (23249622168).

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

11073123432 is a wasteful number, since it uses less digits than its factorization.

11073123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31295 (or 31288 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 11073123432 in words is "eleven billion, seventy-three million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 719 1438 2157 2876 4314 5033 5752 6471 8628 10066 12942 15099 17256 20132 25884 30198 30557 40264 45297 51768 60396 61114 90594 91671 120792 122228 181188 183342 213899 244456 275013 362376 366684 427798 550026 641697 733368 855596 1100052 1283394 1711192 1925091 2200104 2566788 3850182 5133576 7700364 15400728 21970483 43940966 65911449 87881932 131822898 153793381 175763864 197734347 263645796 307586762 395468694 461380143 527291592 615173524 790937388 922760286 1230347048 1384140429 1581874776 1845520572 2768280858 3691041144 5536561716 11073123432