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11224978704 = 243101092
BaseRepresentation
bin10100111010000111…
…11001010100010000
31001222021210000000000
422131003321110100
5140442043304304
65053502130000
7545110513302
oct123503712420
931867700000
1011224978704
114840231705
122213280900
13109b719244
14786b15972
1545a6ce939
hex29d0f9510

11224978704 has 165 divisors, whose sum is σ = 32924444133. Its totient is φ = 3707332416.

The previous prime is 11224978649. The next prime is 11224978741. The reversal of 11224978704 is 40787942211.

The square root of 11224978704 is 105948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7823756304 + 3401222400 = 88452^2 + 58320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11224978704.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 102981402 + ... + 102981510.

Almost surely, 211224978704 is an apocalyptic number.

11224978704 is the 105948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224978704

11224978704 is an abundant number, since it is smaller than the sum of its proper divisors (21699465429).

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

11224978704 is an frugal number, since it uses more digits than its factorization.

11224978704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11224978704 in words is "eleven billion, two hundred twenty-four million, nine hundred seventy-eight thousand, seven hundred four".