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11207746144 = 257192633399
BaseRepresentation
bin10100111000000100…
…01010001001100000
31001221002100111101001
422130002022021200
5140423140334034
65052044521344
7544511161510
oct123402121140
931832314331
1011207746144
114831531621
122209550254
131097c9466a
1478470b840
15458e28a14
hex29c08a260

11207746144 has 48 divisors (see below), whose sum is σ = 26544672000. Its totient is φ = 4550511744.

The previous prime is 11207746133. The next prime is 11207746189. The reversal of 11207746144 is 44164770211.

It is a super-2 number, since 2×112077461442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312444 + ... + 1320955.

It is an arithmetic number, because the mean of its divisors is an integer number (553014000).

Almost surely, 211207746144 is an apocalyptic number.

11207746144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11207746144 is an abundant number, since it is smaller than the sum of its proper divisors (15336925856).

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

11207746144 is a wasteful number, since it uses less digits than its factorization.

11207746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633435 (or 2633427 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 11207746144 in words is "eleven billion, two hundred seven million, seven hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 2633399 5266798 10533596 18433793 21067192 36867586 42134384 50034581 73735172 84268768 100069162 147470344 200138324 294940688 350242067 400276648 589881376 700484134 800553296 1400968268 1601106592 2801936536 5603873072 11207746144