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21364406784 = 29327662339
BaseRepresentation
bin10011111001011010…
…101111101000000000
32001010220220022111100
4103321122233220000
5322223242004114
613451545214400
71354300314150
oct237132575000
961126808440
1021364406784
119073718036
124182a91400
132026273626
1410695b0760
1585092e909
hex4f96afa00

21364406784 has 120 divisors (see below), whose sum is σ = 70467677280. Its totient is φ = 6104107008.

The previous prime is 21364406779. The next prime is 21364406827. The reversal of 21364406784 is 48760446312.

21364406784 is a `hidden beast` number, since 2 + 136 + 440 + 6 + 78 + 4 = 666.

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, 298914 + ... + 363425.

It is an arithmetic number, because the mean of its divisors is an integer number (587230644).

Almost surely, 221364406784 is an apocalyptic number.

21364406784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21364406784 is an abundant number, since it is smaller than the sum of its proper divisors (49103270496).

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

21364406784 is an equidigital number, since it uses as much as digits as its factorization.

21364406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662370 (or 662351 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21364406784 in words is "twenty-one billion, three hundred sixty-four million, four hundred six 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 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 662339 1324678 1987017 2649356 3974034 4636373 5298712 5961051 7948068 9272746 10597424 11922102 13909119 15896136 18545492 21194848 23844204 27818238 31792272 37090984 41727357 42389696 47688408 55636476 63584544 74181968 83454714 84779392 95376816 111272952 127169088 148363936 166909428 169558784 190753632 222545904 254338176 296727872 333818856 339117568 381507264 445091808 508676352 593455744 667637712 763014528 890183616 1017352704 1186911488 1335275424 1526029056 1780367232 2373822976 2670550848 3052058112 3560734464 5341101696 7121468928 10682203392 21364406784