Search a number
-
+
5615628480000 = 29335471123367
BaseRepresentation
bin101000110110111110110…
…0010100110111000000000
3201212211220210201020002000
41101231331202212320000
51214001301342330000
615535441211224000
71116500336333610
oct121557542467000
921784823636060
105615628480000
111875635972430
1276841a748000
13319722828576
14155b254cca40
159b11e64a000
hex51b7d8a6e00

5615628480000 has 3200 divisors, whose sum is σ = 27096734269440. Its totient is φ = 1113108480000.

The previous prime is 5615628479999. The next prime is 5615628480001. The reversal of 5615628480000 is 848265165.

5615628480000 is a `hidden beast` number, since 5 + 6 + 1 + 562 + 8 + 4 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5615628479999) and next prime (5615628480001).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×56156284800002 (a number of 26 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 not an unprimeable number, because it can be changed into a prime (5615628480001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15301439817 + ... + 15301440183.

Almost surely, 25615628480000 is an apocalyptic number.

5615628480000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5615628480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548367134720).

5615628480000 is an abundant number, since it is smaller than the sum of its proper divisors (21481105789440).

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

5615628480000 is a wasteful number, since it uses less digits than its factorization.

5615628480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5615628480000 in words is "five trillion, six hundred fifteen billion, six hundred twenty-eight million, four hundred eighty thousand".