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11005455243232 = 258323925169073
BaseRepresentation
bin1010000000100110100001…
…0000000001011111100000
31102222010000002122202012001
42200021220100001133200
52420303133020240412
635223500352213344
72214055304035462
oct240115020013740
942863002582161
1011005455243232
11356342963399a
121298b2083a254
1361aa6b697028
142a0949c9c132
15141425587957
hexa02684017e0

11005455243232 has 96 divisors (see below), whose sum is σ = 22107835491840. Its totient is φ = 5392036608000.

The previous prime is 11005455243217. The next prime is 11005455243241. The reversal of 11005455243232 is 23234255450011.

It is a happy number.

It is a super-2 number, since 2×110054552432322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005455243191 and 11005455243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159296248 + ... + 159365320.

It is an arithmetic number, because the mean of its divisors is an integer number (230289953040).

Almost surely, 211005455243232 is an apocalyptic number.

It is an amenable number.

11005455243232 is an abundant number, since it is smaller than the sum of its proper divisors (11102380248608).

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

11005455243232 is a wasteful number, since it uses less digits than its factorization.

11005455243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69656 (or 69648 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 11005455243232 in words is "eleven trillion, five billion, four hundred fifty-five million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 83 166 239 251 332 478 502 664 956 1004 1328 1912 2008 2656 3824 4016 7648 8032 19837 20833 39674 41666 59989 69073 79348 83332 119978 138146 158696 166664 239956 276292 317392 333328 479912 552584 634784 666656 959824 1105168 1919648 2210336 4979087 5733059 9958174 11466118 16508447 17337323 19916348 22932236 33016894 34674646 39832696 45864472 66033788 69349292 79665392 91728944 132067576 138698584 159330784 183457888 264135152 277397168 528270304 554794336 1370201101 1438997809 2740402202 2877995618 4143620197 5480804404 5755991236 8287240394 10961608808 11511982472 16574480788 21923217616 23023964944 33148961576 43846435232 46047929888 66297923152 132595846304 343920476351 687840952702 1375681905404 2751363810808 5502727621616 11005455243232