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21214036536688 = 2431471564958151
BaseRepresentation
bin1001101001011010001110…
…00111001010110101110000
32210010001010200101120010101
410310231013013022311300
510240032321323133223
6113041332134242144
74316443413225262
oct464550707126560
983101120346111
1021214036536688
116839905637976
122467509ab6354
13bab623930948
14534a9ca4db32
1526bc5bec04ad
hex134b471cad70

21214036536688 has 80 divisors (see below), whose sum is σ = 43334312140800. Its totient is φ = 10045640448000.

The previous prime is 21214036536677. The next prime is 21214036536689. The reversal of 21214036536688 is 88663563041212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214036536689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364780413 + ... + 364838563.

It is an arithmetic number, because the mean of its divisors is an integer number (541678901760).

Almost surely, 221214036536688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214036536688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21667156070400).

21214036536688 is an abundant number, since it is smaller than the sum of its proper divisors (22120275604112).

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

21214036536688 is a wasteful number, since it uses less digits than its factorization.

21214036536688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73886 (or 73880 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 21214036536688 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 15649 23312 31298 58151 62596 116302 125192 232604 250384 465208 485119 735503 930416 970238 1471006 1802681 1940476 2733097 2942012 3605362 3880952 5466194 5884024 7210724 7761904 10932388 11768048 14421448 21864776 22800593 28842896 43729552 45601186 84726007 91202372 169452014 182404744 338904028 364809488 677808056 910004999 1355616112 1820009998 3640019996 7280039992 14560079984 28210154969 42770234953 56420309938 85540469906 112840619876 171080939812 225681239752 342161879624 451362479504 684323759248 1325877283543 2651754567086 5303509134172 10607018268344 21214036536688