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11690537958 = 23211431136991
BaseRepresentation
bin10101110001100111…
…10111001111100110
31010011201210212020100
422320303313033212
5142420234203313
65212012444530
7562462635021
oct127063671746
933151725210
1011690537958
114a5a005220
122323179746
131144002ca8
147cc8a41b8
154864e3173
hex2b8cf73e6

11690537958 has 48 divisors (see below), whose sum is σ = 27696494592. Its totient is φ = 3534342000.

The previous prime is 11690537921. The next prime is 11690537983. The reversal of 11690537958 is 85973509611.

11690537958 is a `hidden beast` number, since 1 + 16 + 9 + 0 + 537 + 95 + 8 = 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, 16843 + ... + 153833.

It is an arithmetic number, because the mean of its divisors is an integer number (577010304).

Almost surely, 211690537958 is an apocalyptic number.

11690537958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11690537958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848247296).

11690537958 is an abundant number, since it is smaller than the sum of its proper divisors (16005956634).

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

11690537958 is a wasteful number, since it uses less digits than its factorization.

11690537958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137441 (or 137438 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 11690537958 in words is "eleven billion, six hundred ninety million, five hundred thirty-seven thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 431 862 1293 2586 3879 4741 7758 9482 14223 28446 42669 85338 136991 273982 410973 821946 1232919 1506901 2465838 3013802 4520703 9041406 13562109 27124218 59043121 118086242 177129363 354258726 531388089 649474331 1062776178 1298948662 1948422993 3896845986 5845268979 11690537958