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1119401856 = 2735172973
BaseRepresentation
bin100001010111000…
…1011011110000000
32220000100111200000
41002232023132000
54243031324411
6303024400000
736511521156
oct10256133600
92800314600
101119401856
11524967201
12272a76000
1314abb4a81
14a894d3d6
1568419956
hex42b8b780

1119401856 has 384 divisors, whose sum is σ = 3709087200. Its totient is φ = 334430208.

The previous prime is 1119401851. The next prime is 1119401869. The reversal of 1119401856 is 6581049111.

It is a happy number.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1119401856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119401851) 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 47 ways as a sum of consecutive naturals, for example, 15334236 + ... + 15334308.

Almost surely, 21119401856 is an apocalyptic number.

1119401856 is a gapful number since it is divisible by the number (16) 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 1119401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854543600).

1119401856 is an abundant number, since it is smaller than the sum of its proper divisors (2589685344).

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

1119401856 is an equidigital number, since it uses as much as digits as its factorization.

1119401856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1119401856 is about 33457.4633826296. The cubic root of 1119401856 is about 1038.3139148787.

The spelling of 1119401856 in words is "one billion, one hundred nineteen million, four hundred one thousand, eight hundred fifty-six".