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1149278118912 = 21035721121941
BaseRepresentation
bin10000101110010110010…
…100000110010000000000
311001212111011112120200000
4100232112110012100000
5122312210144301122
62235545430400000
7146014116553500
oct20562624062000
94055434476600
101149278118912
1140345159a100
121668a2b00000
13844b8117211
143d8a7da5a00
151ed66ca00ac
hex10b96506400

1149278118912 has 2376 divisors, whose sum is σ = 4744877548320. Its totient is φ = 275904921600.

The previous prime is 1149278118799. The next prime is 1149278118913. The reversal of 1149278118912 is 2198118729411.

It is a happy number.

1149278118912 is a `hidden beast` number, since 1 + 1 + 492 + 78 + 1 + 1 + 89 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149278118913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28031173612 + ... + 28031173652.

Almost surely, 21149278118912 is an apocalyptic number.

1149278118912 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 1149278118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372438774160).

1149278118912 is an abundant number, since it is smaller than the sum of its proper divisors (3595599429408).

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

1149278118912 is a wasteful number, since it uses less digits than its factorization.

1149278118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The spelling of 1149278118912 in words is "one trillion, one hundred forty-nine billion, two hundred seventy-eight million, one hundred eighteen thousand, nine hundred twelve".