Search a number
-
+
11420645483520 = 2103357136131481
BaseRepresentation
bin1010011000110001001110…
…0001000110010000000000
31111102210200102100021111000
42212030103201012100000
52444103440220433040
640142323324052000
72256054145614360
oct246142341062000
944383612307430
1011420645483520
113703517704689
121345493094000
1364ac6809c320
142b6a956469a0
1514c125823130
hexa6313846400

11420645483520 has 1408 divisors, whose sum is σ = 50068396385280. Its totient is φ = 2404075438080.

The previous prime is 11420645483497. The next prime is 11420645483561. The reversal of 11420645483520 is 2538454602411.

11420645483520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 6 + 45 + 4 + 83 + 520 = 666.

It is a super-2 number, since 2×114206454835202 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7711441180 + ... + 7711442660.

Almost surely, 211420645483520 is an apocalyptic number.

11420645483520 is a gapful number since it is divisible by the number (10) 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 11420645483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034198192640).

11420645483520 is an abundant number, since it is smaller than the sum of its proper divisors (38647750901760).

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

11420645483520 is a wasteful number, since it uses less digits than its factorization.

11420645483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 11420645483520 in words is "eleven trillion, four hundred twenty billion, six hundred forty-five million, four hundred eighty-three thousand, five hundred twenty".