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11231735376 = 2437116320219
BaseRepresentation
bin10100111010111011…
…01010111001010000
31001222202111021102010
422131131222321100
5141000311013001
65054303022520
7545222114121
oct123535527120
931882437363
1011231735376
114844027034
12221559aa40
13109cc43784
14787994048
1545b0b68d6
hex29d76ae50

11231735376 has 80 divisors (see below), whose sum is σ = 29605962240. Its totient is φ = 3668353920.

The previous prime is 11231735341. The next prime is 11231735377. The reversal of 11231735376 is 67353713211.

It is a happy number.

It is a super-2 number, since 2×112317353762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231735377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545395 + ... + 565613.

It is an arithmetic number, because the mean of its divisors is an integer number (370074528).

Almost surely, 211231735376 is an apocalyptic number.

11231735376 is a gapful number since it is divisible by the number (16) 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 11231735376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802981120).

11231735376 is an abundant number, since it is smaller than the sum of its proper divisors (18374226864).

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

11231735376 is a wasteful number, since it uses less digits than its factorization.

11231735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20464 (or 20458 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The spelling of 11231735376 in words is "eleven billion, two hundred thirty-one million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 163 213 284 326 426 489 568 652 852 978 1136 1304 1704 1956 2608 3408 3912 7824 11573 20219 23146 34719 40438 46292 60657 69438 80876 92584 121314 138876 161752 185168 242628 277752 323504 485256 555504 970512 1435549 2871098 3295697 4306647 5742196 6591394 8613294 9887091 11484392 13182788 17226588 19774182 22968784 26365576 34453176 39548364 52731152 68906352 79096728 158193456 233994487 467988974 701983461 935977948 1403966922 1871955896 2807933844 3743911792 5615867688 11231735376