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1266026112 = 27351331101
BaseRepresentation
bin100101101110110…
…0000011010000000
310021020020210100000
41023131200122000
510043100313422
6325343200000
743242021141
oct11335403200
93236223300
101266026112
1159a70317a
122b3ba6000
131723a12a0
14c01d9ac8
157622dcac
hex4b760680

1266026112 has 384 divisors, whose sum is σ = 4241502720. Its totient is φ = 373248000.

The previous prime is 1266026101. The next prime is 1266026149. The reversal of 1266026112 is 2116206621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12534862 + ... + 12534962.

It is an arithmetic number, because the mean of its divisors is an integer number (11045580).

Almost surely, 21266026112 is an apocalyptic number.

1266026112 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 1266026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120751360).

1266026112 is an abundant number, since it is smaller than the sum of its proper divisors (2975476608).

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

1266026112 is a wasteful number, since it uses less digits than its factorization.

1266026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1266026112 is about 35581.2606859285. The cubic root of 1266026112 is about 1081.8014379786.

The spelling of 1266026112 in words is "one billion, two hundred sixty-six million, twenty-six thousand, one hundred twelve".