Search a number
-
+
56785683120 = 2435236607013
BaseRepresentation
bin110100111000101100…
…001100001010110000
312102120111021120220220
4310320230030022300
51412244113324440
642030442133040
74050126225315
oct647054141260
9172514246826
1056785683120
11220a0046231
12b0094b1180
13547c847c3a
142a69a1cd0c
1517254778d0
hexd38b0c2b0

56785683120 has 40 divisors (see below), whose sum is σ = 176035618416. Its totient is φ = 15142848768.

The previous prime is 56785683113. The next prime is 56785683127. The reversal of 56785683120 is 2138658765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56785683113) and next prime (56785683127).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×567856831202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56785683127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118303267 + ... + 118303746.

Almost surely, 256785683120 is an apocalyptic number.

It is an amenable number.

56785683120 is an abundant number, since it is smaller than the sum of its proper divisors (119249935296).

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

56785683120 is a wasteful number, since it uses less digits than its factorization.

56785683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236607029 (or 236607023 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 56785683120 in words is "fifty-six billion, seven hundred eighty-five million, six hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 236607013 473214026 709821039 946428052 1183035065 1419642078 1892856104 2366070130 2839284156 3549105195 3785712208 4732140260 5678568312 7098210390 9464280520 11357136624 14196420780 18928561040 28392841560 56785683120