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1916144032 = 251149910909
BaseRepresentation
bin111001000110110…
…0000100110100000
311221112120012110111
41302031200212200
512411013102112
6514045341104
765324645515
oct16215404640
94845505414
101916144032
118a3682410
12455867794
13246c96b4a
141426ab30c
15b334b5a7
hex723609a0

1916144032 has 48 divisors (see below), whose sum is σ = 4123980000. Its totient is φ = 869149440.

The previous prime is 1916143993. The next prime is 1916144047. The reversal of 1916144032 is 2304416191.

It is a junction number, because it is equal to n+sod(n) for n = 1916143985 and 1916144003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170194 + ... + 181102.

It is an arithmetic number, because the mean of its divisors is an integer number (85916250).

Almost surely, 21916144032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1916144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061990000).

1916144032 is an abundant number, since it is smaller than the sum of its proper divisors (2207835968).

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

1916144032 is a wasteful number, since it uses less digits than its factorization.

1916144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1916144032 is about 43773.7824730740. The cubic root of 1916144032 is about 1242.0604038482.

The spelling of 1916144032 in words is "one billion, nine hundred sixteen million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 499 998 1996 3992 5489 7984 10909 10978 15968 21818 21956 43636 43912 87272 87824 119999 174544 175648 239998 349088 479996 959992 1919984 3839968 5443591 10887182 21774364 43548728 59879501 87097456 119759002 174194912 239518004 479036008 958072016 1916144032