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56385132040 = 2352397762731
BaseRepresentation
bin110100100000110100…
…001101011000001000
312101112120120111010201
4310200310031120020
51410434043211130
641523013021544
74034163500026
oct644064153010
9171476514121
1056385132040
1121a04a34286
12ab173248b4
135417872873
142a2c753716
151700205bca
hexd20d0d608

56385132040 has 64 divisors (see below), whose sum is σ = 132520095360. Its totient is φ = 21551016960.

The previous prime is 56385131993. The next prime is 56385132049. The reversal of 56385132040 is 4023158365.

It is not an unprimeable number, because it can be changed into a prime (56385132049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867475 + ... + 930205.

It is an arithmetic number, because the mean of its divisors is an integer number (2070626490).

Almost surely, 256385132040 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 56385132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66260047680).

56385132040 is an abundant number, since it is smaller than the sum of its proper divisors (76134963320).

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

56385132040 is a wasteful number, since it uses less digits than its factorization.

56385132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63742 (or 63738 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 56385132040 in words is "fifty-six billion, three hundred eighty-five million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 977 1954 3908 4885 7816 9770 19540 22471 39080 44942 62731 89884 112355 125462 179768 224710 250924 313655 449420 501848 627310 898840 1254620 1442813 2509240 2885626 5771252 7214065 11542504 14428130 28856260 57712520 61288187 122576374 245152748 306440935 490305496 612881870 1225763740 1409628301 2451527480 2819256602 5638513204 7048141505 11277026408 14096283010 28192566020 56385132040