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20765559552 = 283474191373
BaseRepresentation
bin10011010101101110…
…010100101100000000
31222121012001201112020
4103111232110230000
5320011440401202
613312314001440
71333406225643
oct232556245400
958535051466
1020765559552
118896687271
124036416280
131c5c18c65a
14100dc47a5a
1581808d5bc
hex4d5b94b00

20765559552 has 144 divisors (see below), whose sum is σ = 56618472960. Its totient is φ = 6753488896.

The previous prime is 20765559541. The next prime is 20765559569. The reversal of 20765559552 is 25595556702.

It is a junction number, because it is equal to n+sod(n) for n = 20765559495 and 20765559504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15123538 + ... + 15124910.

It is an arithmetic number, because the mean of its divisors is an integer number (393183840).

Almost surely, 220765559552 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 20765559552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28309236480).

20765559552 is an abundant number, since it is smaller than the sum of its proper divisors (35852913408).

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

20765559552 is a wasteful number, since it uses less digits than its factorization.

20765559552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 51.

The spelling of 20765559552 in words is "twenty billion, seven hundred sixty-five million, five hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 419 564 752 768 838 1128 1257 1373 1504 1676 2256 2514 2746 3008 3352 4119 4512 5028 5492 6016 6704 8238 9024 10056 10984 12032 13408 16476 18048 19693 20112 21968 26816 32952 36096 39386 40224 43936 53632 59079 64531 65904 78772 80448 87872 107264 118158 129062 131808 157544 160896 175744 193593 236316 258124 263616 315088 321792 351488 387186 472632 516248 527232 575287 630176 774372 945264 1032496 1054464 1150574 1260352 1548744 1725861 1890528 2064992 2301148 2520704 3097488 3451722 3781056 4129984 4602296 5041408 6194976 6903444 7562112 8259968 9204592 12389952 13806888 15124224 16519936 18409184 24779904 27038489 27613776 36818368 49559808 54076978 55227552 73636736 81115467 108153956 110455104 147273472 162230934 216307912 220910208 324461868 432615824 441820416 648923736 865231648 1297847472 1730463296 2595694944 3460926592 5191389888 6921853184 10382779776 20765559552