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1138732013292 = 22317294310614219
BaseRepresentation
bin10000100100100001101…
…101111001011011101100
311000212021012011220110120
4100210201231321123230
5122124110343411132
62231043135004540
7145161561260046
oct20444155713354
94025235156416
101138732013292
113a9a2a597935
1216483b069750
13834c7251033
143d1874c8a96
151e94aebd02c
hex10921b796ec

1138732013292 has 192 divisors, whose sum is σ = 2981545459200. Its totient is φ = 336511365120.

The previous prime is 1138732013267. The next prime is 1138732013297. The reversal of 1138732013292 is 2923102378311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1138732013297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269903559 + ... + 269907777.

It is an arithmetic number, because the mean of its divisors is an integer number (15528882600).

Almost surely, 21138732013292 is an apocalyptic number.

1138732013292 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 1138732013292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490772729600).

1138732013292 is an abundant number, since it is smaller than the sum of its proper divisors (1842813445908).

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

1138732013292 is a wasteful number, since it uses less digits than its factorization.

1138732013292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1138732013292 in words is "one trillion, one hundred thirty-eight billion, seven hundred thirty-two million, thirteen thousand, two hundred ninety-two".