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11389490246160 = 243351317101236231
BaseRepresentation
bin1010010110111101001010…
…0001010011001000010000
31111022211021011021020101000
42211233102201103020100
52443101134000334120
640120132023142000
72253602120512515
oct245572241231020
944284234236330
1011389490246160
1136a128a358734
12133b4392a4900
13648041586330
142b537ba0130c
1514b4005a1990
hexa5bd2853210

11389490246160 has 640 divisors, whose sum is σ = 45176478520320. Its totient is φ = 2612514816000.

The previous prime is 11389490246137. The next prime is 11389490246179. The reversal of 11389490246160 is 6164209498311.

11389490246160 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 94 + 90 + 2 + 461 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11389490246097 and 11389490246106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48095245 + ... + 48331475.

It is an arithmetic number, because the mean of its divisors is an integer number (70588247688).

Almost surely, 211389490246160 is an apocalyptic number.

11389490246160 is a gapful number since it is divisible by the number (10) 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 11389490246160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588239260160).

11389490246160 is an abundant number, since it is smaller than the sum of its proper divisors (33786988274160).

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

11389490246160 is a wasteful number, since it uses less digits than its factorization.

11389490246160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236384 (or 236372 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11389490246160 in words is "eleven trillion, three hundred eighty-nine billion, four hundred ninety million, two hundred forty-six thousand, one hundred sixty".