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11746316092368 = 243111341199209743
BaseRepresentation
bin1010101011101110011011…
…1111111000001111010000
31112120221021222001100102210
42222323212333320033100
53014422423404423433
640552103315312120
72321433443251164
oct252734677701720
945527258040383
1011746316092368
1138196482322a0
1213986215ab640
136728993529c0
142c874bc18ca4
151558369bd463
hexaaee6ff83d0

11746316092368 has 320 divisors, whose sum is σ = 36702850867200. Its totient is φ = 3189420748800.

The previous prime is 11746316092289. The next prime is 11746316092387. The reversal of 11746316092368 is 86329061364711.

It is a super-2 number, since 2×117463160923682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55898505 + ... + 56108247.

It is an arithmetic number, because the mean of its divisors is an integer number (114696408960).

Almost surely, 211746316092368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11746316092368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351425433600).

11746316092368 is an abundant number, since it is smaller than the sum of its proper divisors (24956534774832).

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

11746316092368 is a wasteful number, since it uses less digits than its factorization.

11746316092368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210018 (or 210012 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 11746316092368 in words is "eleven trillion, seven hundred forty-six billion, three hundred sixteen million, ninety-two thousand, three hundred sixty-eight".