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21820253290745 = 5713232631779229
BaseRepresentation
bin1001111011000011011000…
…11100100100000011111001
32212020222212222011102221212
410331201230130210003321
510330000334320300440
6114224030323212505
74411314134505560
oct475415434440371
985228788142855
1021820253290745
116a52a10147838
122544ab2817135
13c23844529040
1455616a806bd7
1527c8dc9de465
hex13d86c7240f9

21820253290745 has 64 divisors (see below), whose sum is σ = 33629704657920. Its totient is φ = 13210332208128.

The previous prime is 21820253290673. The next prime is 21820253290783. The reversal of 21820253290745 is 54709235202812.

It is a cyclic number.

It is not a de Polignac number, because 21820253290745 - 28 = 21820253290489 is a prime.

It is a super-2 number, since 2×218202532907452 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21820253290693 and 21820253290702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275367791 + ... + 275447019.

It is an arithmetic number, because the mean of its divisors is an integer number (525464135280).

Almost surely, 221820253290745 is an apocalyptic number.

It is an amenable number.

21820253290745 is a deficient number, since it is larger than the sum of its proper divisors (11809451367175).

21820253290745 is a wasteful number, since it uses less digits than its factorization.

21820253290745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105594.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 21820253290745 in words is "twenty-one trillion, eight hundred twenty billion, two hundred fifty-three million, two hundred ninety thousand, seven hundred forty-five".

Divisors: 1 5 7 13 23 35 65 91 115 161 299 455 805 1495 2093 10465 26317 79229 131585 184219 342121 396145 554603 605291 921095 1029977 1710605 1822267 2394847 2773015 3026455 4237037 5149885 7209839 7868783 9111335 11974235 12755869 21185185 23689471 36049195 39343915 55081481 63779345 118447355 165826297 275407405 829131485 2085069593 10425347965 14595487151 27105904709 47956600639 72977435755 135529523545 189741332963 239783003195 335696204473 623435808307 948706664815 1678481022365 3117179041535 4364050658149 21820253290745