Search a number
-
+
56121262416 = 2432389730989
BaseRepresentation
bin110100010001000101…
…101000000101010000
312100212012001112001200
4310101011220011100
51404414020344131
641440505231200
74024510600602
oct642105500520
9170765045050
1056121262416
1121889a9810a
12aa62a92500
1353a4cb51ab
142a056a7172
1516d6e822e6
hexd11168150

56121262416 has 30 divisors (see below), whose sum is σ = 157061588970. Its totient is φ = 18707087424.

The previous prime is 56121262361. The next prime is 56121262451. The reversal of 56121262416 is 61426212165.

56121262416 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 12 + 624 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41821886016 + 14299376400 = 204504^2 + 119580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194865351 + ... + 194865638.

It is an arithmetic number, because the mean of its divisors is an integer number (5235386299).

Almost surely, 256121262416 is an apocalyptic number.

It is an amenable number.

56121262416 is an abundant number, since it is smaller than the sum of its proper divisors (100940326554).

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

56121262416 is a wasteful number, since it uses less digits than its factorization.

56121262416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389731003 (or 389730994 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

It can be divided in two parts, 5612 and 1262416, that added together give a triangular number (1268028 = T1592).

The spelling of 56121262416 in words is "fifty-six billion, one hundred twenty-one million, two hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389730989 779461978 1169192967 1558923956 2338385934 3117847912 3507578901 4676771868 6235695824 7015157802 9353543736 14030315604 18707087472 28060631208 56121262416