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11147362944 = 273172118093
BaseRepresentation
bin10100110000110111…
…10100001010000000
31001202212201201012020
422120123310022000
5140312211103234
65042050401440
7543146010264
oct123033641200
931685651166
1011147362944
114800439853
1221b1290280
131088612163
1477a6b00a4
1545399c549
hex2986f4280

11147362944 has 128 divisors (see below), whose sum is σ = 31504438080. Its totient is φ = 3480207360.

The previous prime is 11147362931. The next prime is 11147362979. The reversal of 11147362944 is 44926374111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11147362896 and 11147362905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373362 + ... + 1381454.

Almost surely, 211147362944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11147362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752219040).

11147362944 is an abundant number, since it is smaller than the sum of its proper divisors (20357075136).

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

11147362944 is a wasteful number, since it uses less digits than its factorization.

11147362944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8326 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 11147362944 in words is "eleven billion, one hundred forty-seven million, three hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 211 272 384 408 422 544 633 816 844 1088 1266 1632 1688 2176 2532 3264 3376 3587 5064 6528 6752 7174 8093 10128 10761 13504 14348 16186 20256 21522 24279 27008 28696 32372 40512 43044 48558 57392 64744 81024 86088 97116 114784 129488 137581 172176 194232 229568 258976 275162 344352 388464 412743 459136 517952 550324 688704 776928 825486 1035904 1100648 1377408 1553856 1650972 1707623 2201296 3107712 3301944 3415246 4402592 5122869 6603888 6830492 8805184 10245738 13207776 13660984 17610368 20491476 26415552 27321968 29029591 40982952 52831104 54643936 58059182 81965904 87088773 109287872 116118364 163931808 174177546 218575744 232236728 327863616 348355092 464473456 655727232 696710184 928946912 1393420368 1857893824 2786840736 3715787648 5573681472 11147362944