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21354782652 = 223573138563
BaseRepresentation
bin10011111000110110…
…000001111110111100
32001010020210100200000
4103320312001332330
5322213311021102
613451003034300
71354122441360
oct237066017674
961106710600
1021354782652
119069244305
12417b80b990
132024283b88
1410681c72a0
1584eb7d01c
hex4f8d81fbc

21354782652 has 72 divisors (see below), whose sum is σ = 63976488576. Its totient is φ = 6101364528.

The previous prime is 21354782641. The next prime is 21354782681. The reversal of 21354782652 is 25628745312.

21354782652 is a `hidden beast` number, since 21 + 3 + 547 + 82 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×213547826522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21354782598 and 21354782607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562478 + ... + 1576085.

Almost surely, 221354782652 is an apocalyptic number.

It is an amenable number.

21354782652 is an abundant number, since it is smaller than the sum of its proper divisors (42621705924).

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

21354782652 is a wasteful number, since it uses less digits than its factorization.

21354782652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138589 (or 3138575 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 21354782652 in words is "twenty-one billion, three hundred fifty-four million, seven hundred eighty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 3138563 6277126 9415689 12554252 18831378 21969941 28247067 37662756 43939882 56494134 65909823 84741201 87879764 112988268 131819646 169482402 197729469 254223603 263639292 338964804 395458938 508447206 593188407 762670809 790917876 1016894412 1186376814 1525341618 1779565221 2372753628 3050683236 3559130442 5338695663 7118260884 10677391326 21354782652