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56160755140 = 2257314275737
BaseRepresentation
bin110100010011011100…
…010001110111000100
312100221221100221220011
4310103130101313010
51410004123131030
641444435520004
74025500354000
oct642334216704
9170857327804
1056160755140
11218aa311626
12aa74159004
1353b0231b79
142a0aa27700
1516da683b2a
hexd13711dc4

56160755140 has 96 divisors (see below), whose sum is σ = 137656915200. Its totient is φ = 19238268672.

The previous prime is 56160755111. The next prime is 56160755141. The reversal of 56160755140 is 4155706165.

It is a junction number, because it is equal to n+sod(n) for n = 56160755093 and 56160755102.

It is not an unprimeable number, because it can be changed into a prime (56160755141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9786352 + ... + 9792088.

It is an arithmetic number, because the mean of its divisors is an integer number (1433926200).

Almost surely, 256160755140 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 56160755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828457600).

56160755140 is an abundant number, since it is smaller than the sum of its proper divisors (81496160060).

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

56160755140 is a wasteful number, since it uses less digits than its factorization.

56160755140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 56160755140 in words is "fifty-six billion, one hundred sixty million, seven hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1427 1715 2854 3430 5708 5737 6860 7135 9989 11474 14270 19978 22948 28540 28685 39956 40159 49945 57370 69923 80318 99890 114740 139846 160636 199780 200795 279692 281113 349615 401590 489461 562226 699230 803180 978922 1124452 1398460 1405565 1957844 1967791 2447305 2811130 3935582 4894610 5622260 7871164 8186699 9789220 9838955 16373398 19677910 32746796 39355820 40933495 57306893 81866990 114613786 163733980 229227572 286534465 401148251 573068930 802296502 1146137860 1604593004 2005741255 2808037757 4011482510 5616075514 8022965020 11232151028 14040188785 28080377570 56160755140