Search a number
-
+
6216020778240 = 283257136319397
BaseRepresentation
bin101101001110100011110…
…1101011101110100000000
3211000020122011202002120200
41122131013231131310000
51303320402304400430
621115333414005200
71211043534555360
oct132350755356400
924006564662520
106216020778240
111a87221750449
12844858946800
1336122582b8c0
14176bdd8d09a0
15aba5db59460
hex5a747b5dd00

6216020778240 has 864 divisors, whose sum is σ = 26514658899456. Its totient is φ = 1309294264320.

The previous prime is 6216020778229. The next prime is 6216020778301. The reversal of 6216020778240 is 428770206126.

It is a happy number.

It is a super-2 number, since 2×62160207782402 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661485222 + ... + 661494618.

Almost surely, 26216020778240 is an apocalyptic number.

6216020778240 is a gapful number since it is divisible by the number (60) 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 6216020778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257329449728).

6216020778240 is an abundant number, since it is smaller than the sum of its proper divisors (20298638121216).

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

6216020778240 is a wasteful number, since it uses less digits than its factorization.

6216020778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6216020778240 in words is "six trillion, two hundred sixteen billion, twenty million, seven hundred seventy-eight thousand, two hundred forty".