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11190874032 = 2433132968713
BaseRepresentation
bin10100110110000011…
…10010111110110000
31001212220121022012000
422123001302332300
5140404330432112
65050243134000
7544214600622
oct123301627660
931786538160
1011190874032
114822a58328
122203974300
131094637b70
14782398c12
154576e47dc
hex29b072fb0

11190874032 has 160 divisors (see below), whose sum is σ = 35786251200. Its totient is φ = 3324561408.

The previous prime is 11190874031. The next prime is 11190874039. The reversal of 11190874032 is 23047809111.

It is a happy number.

11190874032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11190874031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128508 + ... + 197220.

It is an arithmetic number, because the mean of its divisors is an integer number (223664070).

Almost surely, 211190874032 is an apocalyptic number.

11190874032 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 11190874032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893125600).

11190874032 is an abundant number, since it is smaller than the sum of its proper divisors (24595377168).

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

11190874032 is a wasteful number, since it uses less digits than its factorization.

11190874032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68772 (or 68760 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11190874032 in words is "eleven billion, one hundred ninety million, eight hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 68713 81432 137426 162864 206139 274852 412278 549704 618417 824556 893269 1099408 1236834 1649112 1786538 1855251 1992677 2473668 2679807 3298224 3573076 3710502 3985354 4947336 5359614 5978031 7146152 7421004 7970708 8039421 9894672 10719228 11956062 14292304 14842008 15941416 16078842 17934093 21438456 23912124 24118263 25904801 29684016 31882832 32157684 35868186 42876912 47824248 48236526 51809602 53802279 64315368 71736372 77714403 95648496 96473052 103619204 107604558 128630736 143472744 155428806 192946104 207238408 215209116 233143209 286945488 310857612 385892208 414476816 430418232 466286418 621715224 699429627 860836464 932572836 1243430448 1398859254 1865145672 2797718508 3730291344 5595437016 11190874032