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11200644320 = 255619711831
BaseRepresentation
bin10100110111001110…
…00100010011100000
31001220120222200111112
422123213010103200
5140414331104240
65051232402452
7544363622465
oct123347042340
931816880445
1011200644320
114828520948
1222070a6428
131096678cb8
147837bd66c
154584c4665
hex29b9c44e0

11200644320 has 96 divisors (see below), whose sum is σ = 27174885696. Its totient is φ = 4361011200.

The previous prime is 11200644313. The next prime is 11200644337. The reversal of 11200644320 is 2344600211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940805 + ... + 952635.

It is an arithmetic number, because the mean of its divisors is an integer number (283071726).

Almost surely, 211200644320 is an apocalyptic number.

11200644320 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 11200644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587442848).

11200644320 is an abundant number, since it is smaller than the sum of its proper divisors (15974241376).

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

11200644320 is a wasteful number, since it uses less digits than its factorization.

11200644320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 11200644320 in words is "eleven billion, two hundred million, six hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 97 122 160 194 244 305 388 485 488 610 776 970 976 1220 1552 1940 1952 2440 3104 3880 4880 5917 7760 9760 11831 11834 15520 23662 23668 29585 47324 47336 59155 59170 94648 94672 118310 118340 189296 189344 236620 236680 378592 473240 473360 721691 946480 946720 1147607 1443382 1892960 2295214 2886764 3608455 4590428 5738035 5773528 7216910 9180856 11476070 11547056 14433820 18361712 22952140 23094112 28867640 36723424 45904280 57735280 70004027 91808560 115470560 140008054 183617120 280016108 350020135 560032216 700040270 1120064432 1400080540 2240128864 2800161080 5600322160 11200644320