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11252948160 = 263561192161
BaseRepresentation
bin10100111101011101…
…00101110011000000
31002001020101222212210
422132232211303000
5141021223320120
65100341422120
7545600324016
oct123656456300
932036358783
1011252948160
114854aa5563
12222070a940
1310a445cc0c
1478a7168b6
1545cda6ce0
hex29eba5cc0

11252948160 has 112 divisors (see below), whose sum is σ = 36314006112. Its totient is φ = 2951577600.

The previous prime is 11252948123. The next prime is 11252948177. The reversal of 11252948160 is 6184925211.

11252948160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37521 + ... + 154640.

Almost surely, 211252948160 is an apocalyptic number.

11252948160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11252948160 is an abundant number, since it is smaller than the sum of its proper divisors (25061057952).

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

11252948160 is a wasteful number, since it uses less digits than its factorization.

11252948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192242 (or 192232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11252948160 in words is "eleven billion, two hundred fifty-two million, nine hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 58560 192161 384322 576483 768644 960805 1152966 1537288 1921610 2305932 2882415 3074576 3843220 4611864 5764830 6149152 7686440 9223728 11529660 11721821 12298304 15372880 18447456 23059320 23443642 30745760 35165463 36894912 46118640 46887284 58609105 61491520 70330926 92237280 93774568 117218210 140661852 175827315 184474560 187549136 234436420 281323704 351654630 375098272 468872840 562647408 703309260 750196544 937745680 1125294816 1406618520 1875491360 2250589632 2813237040 3750982720 5626474080 11252948160