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1916747742 = 237139736191
BaseRepresentation
bin111001000111111…
…0011111111011110
311221120200212121010
41302033303333132
512411141411432
6514110320050
765333041560
oct16217637736
94846625533
101916747742
118a3a54a48
12455ab9026
13247148880
141427c7330
15b341a3cc
hex723f3fde

1916747742 has 64 divisors (see below), whose sum is σ = 4766920704. Its totient is φ = 500290560.

The previous prime is 1916747713. The next prime is 1916747743. The reversal of 1916747742 is 2477476191.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1916747691 and 1916747700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916747743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34867 + ... + 71057.

It is an arithmetic number, because the mean of its divisors is an integer number (74483136).

Almost surely, 21916747742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1916747742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383460352).

1916747742 is an abundant number, since it is smaller than the sum of its proper divisors (2850172962).

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

1916747742 is a wasteful number, since it uses less digits than its factorization.

1916747742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36313.

The product of its digits is 592704, while the sum is 48.

The square root of 1916747742 is about 43780.6777243112. The cubic root of 1916747742 is about 1242.1908334223.

The spelling of 1916747742 in words is "one billion, nine hundred sixteen million, seven hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 97 182 194 273 291 546 582 679 1261 1358 2037 2522 3783 4074 7566 8827 17654 26481 36191 52962 72382 108573 217146 253337 470483 506674 760011 940966 1411449 1520022 2822898 3293381 3510527 6586762 7021054 9880143 10531581 19760286 21063162 24573689 45636851 49147378 73721067 91273702 136910553 147442134 273821106 319457957 638915914 958373871 1916747742