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11055938243712 = 273311913948527
BaseRepresentation
bin1010000011100010100101…
…0001011000110010000000
31110010221022100022212220120
42200320221101120302000
52422120030142244322
635303010010140240
72220523312334055
oct240705121306200
943127270285816
1011055938243712
113582884a0239a
1212a686b421680
1362275551934b
142a31787db02c
151428cc538a5c
hexa0e29458c80

11055938243712 has 128 divisors (see below), whose sum is σ = 30316878028800. Its totient is φ = 3566171857920.

The previous prime is 11055938243689. The next prime is 11055938243717. The reversal of 11055938243712 is 21734283955011.

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

It is not an unprimeable number, because it can be changed into a prime (11055938243717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227806393 + ... + 227854919.

It is an arithmetic number, because the mean of its divisors is an integer number (236850609600).

Almost surely, 211055938243712 is an apocalyptic number.

11055938243712 is a gapful number since it is divisible by the number (12) 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 11055938243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158439014400).

11055938243712 is an abundant number, since it is smaller than the sum of its proper divisors (19260939785088).

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

11055938243712 is a wasteful number, since it uses less digits than its factorization.

11055938243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67714 (or 67702 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 11055938243712 in words is "eleven trillion, fifty-five billion, nine hundred thirty-eight million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 19139 38278 48527 57417 76556 97054 114834 145581 153112 194108 229668 291162 306224 388216 459336 582324 593309 612448 776432 918672 1164648 1186618 1224896 1504337 1552864 1779927 1837344 2329296 2373236 2449792 3008674 3105728 3559854 3674688 4513011 4658592 4746472 6017348 6211456 7119708 7349376 9026022 9317184 9492944 12034696 14239416 18052044 18634368 18985888 24069392 28478832 36104088 37971776 48138784 56957664 72208176 75943552 96277568 113915328 144416352 192555136 227830656 288832704 577665408 928758253 1857516506 2786274759 3715033012 5572549518 7430066024 11145099036 14860132048 22290198072 28791505843 29720264096 44580396144 57583011686 59440528192 86374517529 89160792288 115166023372 118881056384 172749035058 178321584576 230332046744 345498070116 356643169152 460664093488 690996140232 921328186976 1381992280464 1842656373952 2763984560928 3685312747904 5527969121856 11055938243712