Search a number
-
+
56625148440 = 2333577490099
BaseRepresentation
bin110100101111000111…
…110011001000011000
312102011022012120202000
4310233013303020120
51411432014222230
642002505241000
74043136551220
oct645707631030
9172138176660
1056625148440
1122018469143
12ab83793160
1354554cacc3
142a52591080
151716316b60
hexd2f1f3218

56625148440 has 128 divisors (see below), whose sum is σ = 215714880000. Its totient is φ = 12942889344.

The previous prime is 56625148439. The next prime is 56625148457. The reversal of 56625148440 is 4484152665.

It is a happy number.

56625148440 is a `hidden beast` number, since 5 + 6 + 62 + 5 + 148 + 440 = 666.

56625148440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3737490 + ... + 3752609.

It is an arithmetic number, because the mean of its divisors is an integer number (1685272500).

Almost surely, 256625148440 is an apocalyptic number.

It is an amenable number.

56625148440 is an abundant number, since it is smaller than the sum of its proper divisors (159089731560).

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

56625148440 is a wasteful number, since it uses less digits than its factorization.

56625148440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7490126 (or 7490116 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 56625148440 in words is "fifty-six billion, six hundred twenty-five million, one hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 7490099 14980198 22470297 29960396 37450495 44940594 52430693 59920792 67410891 74900990 89881188 104861386 112351485 134821782 149801980 157292079 179762376 202232673 209722772 224702970 262153465 269643564 299603960 314584158 337054455 404465346 419445544 449405940 471876237 524306930 539287128 629168316 674108910 786460395 808930692 898811880 943752474 1011163365 1048613860 1258336632 1348217820 1415628711 1572920790 1617861384 1887504948 2022326730 2097227720 2359381185 2696435640 2831257422 3145841580 3775009896 4044653460 4718762370 5662514844 6291683160 7078143555 8089306920 9437524740 11325029688 14156287110 18875049480 28312574220 56625148440