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5660439552 = 210322512447
BaseRepresentation
bin1010100010110001…
…10111010000000000
3112121111010010022100
411101120313100000
543043033031202
62333402510400
7260161641135
oct52130672000
915544103270
105660439552
112445197019
12111b805400
136c2929521
143b9a9c58c
15231e1241c
hex151637400

5660439552 has 132 divisors (see below), whose sum is σ = 16416219456. Its totient is φ = 1878528000.

The previous prime is 5660439509. The next prime is 5660439563. The reversal of 5660439552 is 2559340665.

5660439552 is a `hidden beast` number, since 5 + 6 + 60 + 4 + 39 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5660439498 and 5660439507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2311993 + ... + 2314439.

Almost surely, 25660439552 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 5660439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208109728).

5660439552 is an abundant number, since it is smaller than the sum of its proper divisors (10755779904).

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

5660439552 is a wasteful number, since it uses less digits than its factorization.

5660439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5660439552 is about 75235.8927108598. The cubic root of 5660439552 is about 1782.1737899561.

The spelling of 5660439552 in words is "five billion, six hundred sixty million, four hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 1004 1024 1152 1506 1536 2008 2259 2304 2447 3012 3072 4016 4518 4608 4894 6024 7341 8032 9036 9216 9788 12048 14682 16064 18072 19576 22023 24096 29364 32128 36144 39152 44046 48192 58728 64256 72288 78304 88092 96384 117456 128512 144576 156608 176184 192768 234912 257024 289152 313216 352368 385536 469824 578304 614197 626432 704736 771072 939648 1156608 1228394 1252864 1409472 1842591 1879296 2313216 2456788 2505728 2818944 3685182 3758592 4913576 5527773 5637888 7370364 7517184 9827152 11055546 11275776 14740728 19654304 22111092 22551552 29481456 39308608 44222184 58962912 78617216 88444368 117925824 157234432 176888736 235851648 314468864 353777472 471703296 628937728 707554944 943406592 1415109888 1886813184 2830219776 5660439552