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11688140592 = 243516318443
BaseRepresentation
bin10101110001010101…
…01101111100110000
31010011120022001200000
422320222231330300
5142414130444332
65211445230000
7562433361432
oct127052557460
933146261600
1011688140592
114a58718027
122322402300
131143673a2b
147cc43c652
154861bcb7c
hex2b8aadf30

11688140592 has 120 divisors (see below), whose sum is σ = 34132023744. Its totient is φ = 3871934784.

The previous prime is 11688140591. The next prime is 11688140603. The reversal of 11688140592 is 29504188611.

It is a happy number.

11688140592 is a `hidden beast` number, since 1 + 16 + 8 + 8 + 1 + 40 + 592 = 666.

It is a super-2 number, since 2×116881405922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11688140591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624523 + ... + 642965.

Almost surely, 211688140592 is an apocalyptic number.

11688140592 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 11688140592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066011872).

11688140592 is an abundant number, since it is smaller than the sum of its proper divisors (22443883152).

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

11688140592 is a wasteful number, since it uses less digits than its factorization.

11688140592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18629 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11688140592 in words is "eleven billion, six hundred eighty-eight million, one hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 163 216 243 324 326 432 486 489 648 652 972 978 1296 1304 1467 1944 1956 2608 2934 3888 3912 4401 5868 7824 8802 11736 13203 17604 18443 23472 26406 35208 36886 39609 52812 55329 70416 73772 79218 105624 110658 147544 158436 165987 211248 221316 295088 316872 331974 442632 497961 633744 663948 885264 995922 1327896 1493883 1991844 2655792 2987766 3006209 3983688 4481649 5975532 6012418 7967376 8963298 9018627 11951064 12024836 17926596 18037254 23902128 24049672 27055881 35853192 36074508 48099344 54111762 71706384 72149016 81167643 108223524 144298032 162335286 216447048 243502929 324670572 432894096 487005858 649341144 730508787 974011716 1298682288 1461017574 1948023432 2922035148 3896046864 5844070296 11688140592