Search a number
-
+
2274127980480 = 263753249497
BaseRepresentation
bin100001000101111100100…
…101110010011111000000
322001101220220000010000000
4201011330211302133000
5244224403230333410
64500415303000000
7323205003615156
oct41057445623700
98041826003000
102274127980480
117a74a7a5a974
123088a8a39000
131365ac2aba95
147c0d58d33d6
153e24e167dc0
hex2117c9727c0

2274127980480 has 224 divisors, whose sum is σ = 8121665321280. Its totient is φ = 606433941504.

The previous prime is 2274127980461. The next prime is 2274127980491. The reversal of 2274127980480 is 840897214722.

2274127980480 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 12 + 79 + 80 + 480 = 666.

It is a super-2 number, since 2×22741279804802 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924909 + ... + 2324588.

It is an arithmetic number, because the mean of its divisors is an integer number (36257434470).

Almost surely, 22274127980480 is an apocalyptic number.

2274127980480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2274127980480 is an abundant number, since it is smaller than the sum of its proper divisors (5847537340800).

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

2274127980480 is an frugal number, since it uses more digits than its factorization.

2274127980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249535 (or 3249507 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2274127980480 in words is "two trillion, two hundred seventy-four billion, one hundred twenty-seven million, nine hundred eighty thousand, four hundred eighty".