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11671323353152 = 267314931673237
BaseRepresentation
bin1010100111010111000100…
…0101010010000001000000
31112022202201120222110220221
42221311301011102001000
53012210332234300102
640453422032512424
72313140162424421
oct251656105220100
945282646873827
1011671323353152
11379a864842371
121385b926ab714
136687a771c5b8
142c4c760b1648
151538e7ddc637
hexa9d71152040

11671323353152 has 56 divisors (see below), whose sum is σ = 23493285541656. Its totient is φ = 5751862530048.

The previous prime is 11671323353087. The next prime is 11671323353161. The reversal of 11671323353152 is 25135332317611.

It can be written as a sum of positive squares in 4 ways, for example, as 1777379577856 + 9893943775296 = 1333184^2 + 3145464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11671323353099 and 11671323353108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6138678 + ... + 7811914.

It is an arithmetic number, because the mean of its divisors is an integer number (419522956101).

Almost surely, 211671323353152 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 11671323353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746642770828).

11671323353152 is an abundant number, since it is smaller than the sum of its proper divisors (11821962188504).

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

11671323353152 is a wasteful number, since it uses less digits than its factorization.

11671323353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674815 (or 1674805 counting only the distinct ones).

The product of its digits is 340200, while the sum is 43.

The spelling of 11671323353152 in words is "eleven trillion, six hundred seventy-one billion, three hundred twenty-three million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 1493 2336 2986 4672 5972 11944 23888 47776 95552 108989 217978 435956 871912 1673237 1743824 3346474 3487648 6692948 6975296 13385896 26771792 53543584 107087168 122146301 244292602 488585204 977170408 1954340816 2498142841 3908681632 4996285682 7817363264 9992571364 19985142728 39970285456 79940570912 159881141824 182364427393 364728854786 729457709572 1458915419144 2917830838288 5835661676576 11671323353152