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2159990784 = 21132716741
BaseRepresentation
bin1000000010111110…
…1101100000000000
312120112101220022200
42000233231200000
513410424201114
6554200033200
7104345422140
oct20057554000
95515356280
102159990784
11a09293056
12503462800
13285663873
14166c24920
15c9967409
hex80bed800

2159990784 has 144 divisors (see below), whose sum is σ = 7130082960. Its totient is φ = 617103360.

The previous prime is 2159990783. The next prime is 2159990821. The reversal of 2159990784 is 4870999512.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2159990784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159990783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120654 + ... + 137394.

It is an arithmetic number, because the mean of its divisors is an integer number (49514465).

Almost surely, 22159990784 is an apocalyptic number.

2159990784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565041480).

2159990784 is an abundant number, since it is smaller than the sum of its proper divisors (4970092176).

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

2159990784 is a wasteful number, since it uses less digits than its factorization.

2159990784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776 (or 16753 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 2159990784 is about 46475.7010060096. The cubic root of 2159990784 is about 1292.6589755656.

It can be divided in two parts, 215 and 9990784, that added together give a palindrome (9990999).

The spelling of 2159990784 in words is "two billion, one hundred fifty-nine million, nine hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 16741 18432 21504 32256 33482 43008 50223 64512 66964 100446 117187 129024 133928 150669 200892 234374 267856 301338 351561 401784 468748 535712 602676 703122 803568 937496 1054683 1071424 1205352 1406244 1607136 1874992 2109366 2142848 2410704 2812488 3214272 3749984 4218732 4285696 4821408 5624976 6428544 7499968 8437464 8571392 9642816 11249952 12857088 14999936 16874928 17142784 19285632 22499904 25714176 29999872 33749856 34285568 38571264 44999808 51428352 59999744 67499712 77142528 89999616 102856704 119999488 134999424 154285056 179999232 239998976 269998848 308570112 359998464 539997696 719996928 1079995392 2159990784