Search a number
-
+
55795703040 = 2834571129241
BaseRepresentation
bin110011111101101011…
…101101110100000000
312100000111110101120000
4303331223231310000
51403232144444130
641344315320000
74013445436110
oct637553556400
9170014411500
1055795703040
1121732246580
12a991a50000
1353527086cc
1429b435d040
1516b85c5260
hexcfdaedd00

55795703040 has 1440 divisors, whose sum is σ = 258562402560. Its totient is φ = 11147673600.

The previous prime is 55795702973. The next prime is 55795703057. The reversal of 55795703040 is 4030759755.

55795703040 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 570 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×557957030402 (a number of 22 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 231517320 + ... + 231517560.

It is an arithmetic number, because the mean of its divisors is an integer number (179557224).

Almost surely, 255795703040 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 55795703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129281201280).

55795703040 is an abundant number, since it is smaller than the sum of its proper divisors (202766699520).

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

55795703040 is a wasteful number, since it uses less digits than its factorization.

55795703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 55795703040 in words is "fifty-five billion, seven hundred ninety-five million, seven hundred three thousand, forty".