Search a number
-
+
384099978492 = 223271150273857
BaseRepresentation
bin1011001011011100010…
…01001000110011111100
31100201102120212120220100
411211232021020303330
522243114043302432
6452241511321100
736515232643116
oct5455611106374
91321376776810
10384099978492
1113899447395a
1262536380190
132a2b34bbba9
141483a6183b6
159ed0aa107c
hex596e248cfc

384099978492 has 36 divisors (see below), whose sum is σ = 984594317616. Its totient is φ = 126230039040.

The previous prime is 384099978473. The next prime is 384099978529. The reversal of 384099978492 is 294879990483.

384099978492 is a `hidden beast` number, since 3 + 8 + 40 + 9 + 9 + 97 + 8 + 492 = 666.

384099978492 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 384099978492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75134373 + ... + 75139484.

It is an arithmetic number, because the mean of its divisors is an integer number (27349842156).

Almost surely, 2384099978492 is an apocalyptic number.

It is an amenable number.

384099978492 is an abundant number, since it is smaller than the sum of its proper divisors (600494339124).

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

384099978492 is a wasteful number, since it uses less digits than its factorization.

384099978492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150273938 (or 150273933 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

Adding to 384099978492 its sum of digits (72), we get a square (384099978564 = 6197582).

The spelling of 384099978492 in words is "three hundred eighty-four billion, ninety-nine million, nine hundred seventy-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 150273857 300547714 450821571 601095428 901643142 1352464713 1803286284 2704929426 5409858852 10669443847 21338887694 32008331541 42677775388 64016663082 96024994623 128033326164 192049989246 384099978492