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5016706560 = 29325217739
BaseRepresentation
bin1001010110000010…
…01101111000000000
3110221121211002122200
410223001031320000
540233234102220
62145445233200
7235214205435
oct45301157000
913847732580
105016706560
112144888988
12b80102800
1361c45ac28
143583adb8c
151e5656890
hex12b04de00

5016706560 has 120 divisors (see below), whose sum is σ = 17374345560. Its totient is φ = 1337782272.

The previous prime is 5016706559. The next prime is 5016706601. The reversal of 5016706560 is 656076105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 85830 + ... + 131909.

It is an arithmetic number, because the mean of its divisors is an integer number (144786213).

Almost surely, 25016706560 is an apocalyptic number.

It is an amenable number.

5016706560 is an abundant number, since it is smaller than the sum of its proper divisors (12357639000).

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

5016706560 is a wasteful number, since it uses less digits than its factorization.

5016706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217768 (or 217749 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5016706560 is about 70828.7128218493. The cubic root of 5016706560 is about 1711.8783504559.

The spelling of 5016706560 in words is "five billion, sixteen million, seven hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 217739 435478 653217 870956 1088695 1306434 1741912 1959651 2177390 2612868 3266085 3483824 3919302 4354780 5225736 6532170 6967648 7838604 8709560 9798255 10451472 13064340 13935296 15677208 17419120 19596510 20902944 26128680 27870592 31354416 34838240 39193020 41805888 52257360 55741184 62708832 69676480 78386040 83611776 104514720 111482368 125417664 139352960 156772080 167223552 209029440 250835328 278705920 313544160 334447104 418058880 501670656 557411840 627088320 836117760 1003341312 1254176640 1672235520 2508353280 5016706560