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21580347488472 = 23322209313566607
BaseRepresentation
bin1001110100000100100001…
…11100100011100011011000
32211102001122112001221221200
410322002100330203203120
510312033022424112342
6113521512541234200
74355062062025653
oct472022074434330
984361575057850
1021580347488472
1169701a0616763
1225064ba862960
13c07030819116
145486cc87889a
1527654ae8d94c
hex13a090f238d8

21580347488472 has 48 divisors (see below), whose sum is σ = 58449424244640. Its totient is φ = 7193123034048.

The previous prime is 21580347488407. The next prime is 21580347488477. The reversal of 21580347488472 is 27488474308512.

21580347488472 is a `hidden beast` number, since 2 + 1 + 5 + 80 + 3 + 4 + 7 + 4 + 88 + 472 = 666.

It is a super-2 number, since 2×215803474884722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21580347488477) 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, 5192608 + ... + 8373999.

It is an arithmetic number, because the mean of its divisors is an integer number (1217696338430).

Almost surely, 221580347488472 is an apocalyptic number.

It is an amenable number.

21580347488472 is an abundant number, since it is smaller than the sum of its proper divisors (36869076756168).

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

21580347488472 is a wasteful number, since it uses less digits than its factorization.

21580347488472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588712 (or 13588705 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 21580347488472 in words is "twenty-one trillion, five hundred eighty billion, three hundred forty-seven million, four hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 22093 44186 66279 88372 132558 176744 198837 265116 397674 530232 795348 1590696 13566607 27133214 40699821 54266428 81399642 108532856 122099463 162799284 244198926 325598568 488397852 976795704 299727048451 599454096902 899181145353 1198908193804 1798362290706 2397816387608 2697543436059 3596724581412 5395086872118 7193449162824 10790173744236 21580347488472