Search a number
-
+
2278690652160 = 218345132127
BaseRepresentation
bin100001001010001100100…
…011000000000000000000
322001211200212110211220000
4201022030203000000000
5244313224301332120
64502452132520000
7323426035651026
oct41121443000000
98054625424800
102278690652160
117a942951670a
12309760a80000
13136b58659600
147c409874716
153e4199d5990
hex2128c8c0000

2278690652160 has 1140 divisors, whose sum is σ = 8915932447488. Its totient is φ = 556491866112.

The previous prime is 2278690652153. The next prime is 2278690652207. The reversal of 2278690652160 is 612560968722.

2278690652160 is a `hidden beast` number, since 2 + 27 + 8 + 6 + 90 + 6 + 521 + 6 + 0 = 666.

It is a super-2 number, since 2×22786906521602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2278690652097 and 2278690652106.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17942446017 + ... + 17942446143.

Almost surely, 22278690652160 is an apocalyptic number.

2278690652160 is a gapful number since it is divisible by the number (20) 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 2278690652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457966223744).

2278690652160 is an abundant number, since it is smaller than the sum of its proper divisors (6637241795328).

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

2278690652160 is an frugal number, since it uses more digits than its factorization.

2278690652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2278690652160 in words is "two trillion, two hundred seventy-eight billion, six hundred ninety million, six hundred fifty-two thousand, one hundred sixty".