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21214036536448 = 277217198961177
BaseRepresentation
bin1001101001011010001110…
…00111001010110010000000
32210010001010200101112210111
410310231013013022302000
510240032321323131243
6113041332134241104
74316443413224500
oct464550707126200
983101120345714
1021214036536448
116839905637778
122467509ab6194
13bab6239307c2
14534a9ca4da00
1526bc5bec039d
hex134b471cac80

21214036536448 has 96 divisors (see below), whose sum is σ = 52054213000140. Its totient is φ = 8556922257408.

The previous prime is 21214036536403. The next prime is 21214036536449. The reversal of 21214036536448 is 84463563041212.

It can be written as a sum of positive squares in 2 ways, for example, as 17087905597504 + 4126130938944 = 4133752^2 + 2031288^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (21214036536449) 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 11 ways as a sum of consecutive naturals, for example, 99373965 + ... + 99587212.

Almost surely, 221214036536448 is an apocalyptic number.

21214036536448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21214036536448 is an abundant number, since it is smaller than the sum of its proper divisors (30840176463692).

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

21214036536448 is a wasteful number, since it uses less digits than its factorization.

21214036536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198961222 (or 198961203 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 21214036536448 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 392 448 476 544 784 833 896 952 1088 1568 1666 1904 2176 3136 3332 3808 6272 6664 7616 13328 15232 26656 53312 106624 198961177 397922354 795844708 1392728239 1591689416 2785456478 3183378832 3382340009 5570912956 6366757664 6764680018 9749097673 11141825912 12733515328 13529360036 19498195346 22283651824 23676380063 25467030656 27058720072 38996390692 44567303648 47352760126 54117440144 77992781384 89134607296 94705520252 108234880288 155985562768 165734660441 178269214592 189411040504 216469760576 311971125536 331469320882 378822081008 432939521152 623942251072 662938641764 757644162016 1247884502144 1325877283528 1515288324032 2651754567056 3030576648064 5303509134112 10607018268224 21214036536448