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11051655044240 = 2451914887488401
BaseRepresentation
bin1010000011010010100111…
…1110010001110010010000
31110010112020211201210211002
42200310221332101302100
52422032242142403430
635301021002241132
72220312212623046
oct240645176216220
943115224653732
1011051655044240
113580a8717a218
1212a5a74ab61a8
1362222202cba5
142a2c8da08396
1514272b4c2845
hexa0d29f91c90

11051655044240 has 80 divisors (see below), whose sum is σ = 27049343790720. Its totient is φ = 4187705702400.

The previous prime is 11051655044191. The next prime is 11051655044249. The reversal of 11051655044240 is 4244055615011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 11051655044194 and 11051655044203.

It is not an unprimeable number, because it can be changed into a prime (11051655044249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22384040 + ... + 22872440.

It is an arithmetic number, because the mean of its divisors is an integer number (338116797384).

Almost surely, 211051655044240 is an apocalyptic number.

11051655044240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11051655044240 is an abundant number, since it is smaller than the sum of its proper divisors (15997688746480).

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

11051655044240 is a wasteful number, since it uses less digits than its factorization.

11051655044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503320 (or 503314 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 11051655044240 in words is "eleven trillion, fifty-one billion, six hundred fifty-five million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 14887 29774 59548 74435 119096 148870 238192 282853 297740 488401 565706 595480 976802 1131412 1190960 1414265 1953604 2262824 2442005 2828530 3907208 4525648 4884010 5657060 7814416 9279619 9768020 11314120 18559238 19536040 22628240 37118476 39072080 46398095 74236952 92796190 148473904 185592380 371184760 742369520 7270825687 14541651374 29083302748 36354128435 58166605496 72708256870 116333210992 138145688053 145416513740 276291376106 290833027480 552582752212 581666054960 690728440265 1105165504424 1381456880530 2210331008848 2762913761060 5525827522120 11051655044240