Search a number
-
+
55785623300 = 225211364313921
BaseRepresentation
bin110011111101000101…
…010000111100000100
312022222210111021202022
4303331011100330010
51403222104421200
641343315302312
74013263655111
oct637505207404
9168883437668
1055785623300
1121727591510
12a98a5aa998
1353505b9774
1429b2c97908
1516b7783885
hexcfd150f04

55785623300 has 72 divisors (see below), whose sum is σ = 132105523872. Its totient is φ = 20278656000.

The previous prime is 55785623287. The next prime is 55785623317. The reversal of 55785623300 is 332658755.

It is a super-2 number, since 2×557856233002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4000340 + ... + 4014260.

Almost surely, 255785623300 is an apocalyptic number.

55785623300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55785623300 is an abundant number, since it is smaller than the sum of its proper divisors (76319900572).

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

55785623300 is a wasteful number, since it uses less digits than its factorization.

55785623300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 55785623300 in words is "fifty-five billion, seven hundred eighty-five million, six hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3643 7286 13921 14572 18215 27842 36430 40073 55684 69605 72860 80146 91075 139210 153131 160292 182150 200365 278420 306262 348025 364300 400730 612524 696050 765655 801460 1001825 1392100 1531310 2003650 3062620 3828275 4007300 7656550 15313100 50714203 101428406 202856812 253571015 507142030 557856233 1014284060 1115712466 1267855075 2231424932 2535710150 2789281165 5071420300 5578562330 11157124660 13946405825 27892811650 55785623300