Search a number
-
+
2384395617990 = 2351917324180059
BaseRepresentation
bin100010101100101001000…
…011011100011011000110
322102221112122000111000110
4202230221003130123012
5303031220234233430
65023213133053450
7334160355230001
oct42545103343306
98387478014013
102384395617990
1183a242190001
12326141327286
13143b03085379
1483596464538
15420549ca7b0
hex22b290dc6c6

2384395617990 has 64 divisors (see below), whose sum is σ = 6058555833600. Its totient is φ = 598891676544.

The previous prime is 2384395617959. The next prime is 2384395617997. The reversal of 2384395617990 is 997165934832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384395617997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11991420 + ... + 12188639.

It is an arithmetic number, because the mean of its divisors is an integer number (94664934900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2384395617990 = 4768791235980, but 3⋅2384395617990 = 7153186853970 is not.

Almost surely, 22384395617990 is an apocalyptic number.

2384395617990 is an abundant number, since it is smaller than the sum of its proper divisors (3674160215610).

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

2384395617990 is a wasteful number, since it uses less digits than its factorization.

2384395617990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24180261.

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 2384395617990 in words is "two trillion, three hundred eighty-four billion, three hundred ninety-five million, six hundred seventeen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 173 190 285 346 519 570 865 1038 1730 2595 3287 5190 6574 9861 16435 19722 32870 49305 98610 24180059 48360118 72540177 120900295 145080354 241800590 362700885 459421121 725401770 918842242 1378263363 2297105605 2756526726 4183150207 4594211210 6891316815 8366300414 12549450621 13782633630 20915751035 25098901242 41831502070 62747253105 79479853933 125494506210 158959707866 238439561799 397399269665 476879123598 794798539330 1192197808995 2384395617990