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2116992384 = 273213141359
BaseRepresentation
bin111111000101110…
…1011110110000000
312110112111100121100
41332023223312000
513313422224014
6550022254400
7103314065313
oct17613536600
95415440540
102116992384
11996a94791
124b0b87400
1327978a320
1416123097a
15c5cc2009
hex7e2ebd80

2116992384 has 96 divisors (see below), whose sum is σ = 6560517600. Its totient is φ = 651377664.

The previous prime is 2116992349. The next prime is 2116992391. The reversal of 2116992384 is 4832996112.

2116992384 is a `hidden beast` number, since 21 + 169 + 92 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55704 + ... + 85655.

It is an arithmetic number, because the mean of its divisors is an integer number (68338725).

Almost surely, 22116992384 is an apocalyptic number.

2116992384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2116992384 is an abundant number, since it is smaller than the sum of its proper divisors (4443525216).

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

2116992384 is a wasteful number, since it uses less digits than its factorization.

2116992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141392 (or 141377 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2116992384 is about 46010.7855181804. The cubic root of 2116992384 is about 1284.0238735480.

The spelling of 2116992384 in words is "two billion, one hundred sixteen million, nine hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 141359 282718 424077 565436 848154 1130872 1272231 1696308 1837667 2261744 2544462 3392616 3675334 4523488 5088924 5513001 6785232 7350668 9046976 10177848 11026002 13570464 14701336 16539003 18093952 20355696 22052004 27140928 29402672 33078006 40711392 44104008 54281856 58805344 66156012 81422784 88208016 117610688 132312024 162845568 176416032 235221376 264624048 352832064 529248096 705664128 1058496192 2116992384