Search a number
-
+
11447070400 = 265221533323
BaseRepresentation
bin10101010100100110…
…00110111011000000
31002112202200102112101
422222103012323000
5141420422223100
65131514240144
7553445331043
oct125223067300
932482612471
1011447070400
114944633467
122275726054
131105739a4c
147a8408c5a
1546ee4e86a
hex2aa4c6ec0

11447070400 has 84 divisors (see below), whose sum is σ = 28188510552. Its totient is φ = 4575324160.

The previous prime is 11447070373. The next prime is 11447070409. The reversal of 11447070400 is 407074411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11447070409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3443139 + ... + 3446461.

Almost surely, 211447070400 is an apocalyptic number.

11447070400 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 11447070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094255276).

11447070400 is an abundant number, since it is smaller than the sum of its proper divisors (16741440152).

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

11447070400 is a wasteful number, since it uses less digits than its factorization.

11447070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 11447070400 in words is "eleven billion, four hundred forty-seven million, seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2153 3323 4306 6646 8612 10765 13292 16615 17224 21530 26584 33230 34448 43060 53168 53825 66460 68896 83075 86120 106336 107650 132920 137792 166150 172240 212672 215300 265840 332300 344480 430600 531680 664600 688960 861200 1063360 1329200 1722400 2658400 3444800 5316800 7154419 14308838 28617676 35772095 57235352 71544190 114470704 143088380 178860475 228941408 286176760 357720950 457882816 572353520 715441900 1144707040 1430883800 2289414080 2861767600 5723535200 11447070400