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11006057153472 = 2632310922865263
BaseRepresentation
bin1010000000101000110000…
…1000001000001111000000
31102222011120001020221210220
42200022030020020033000
52420310401112402342
635224040213223040
72214106233142023
oct240121410101700
942864501227726
1011006057153472
113563708376a77
12129906a331a80
1361ab362b1234
142a09a5bc11ba
1514145d3315ec
hexa028c2083c0

11006057153472 has 112 divisors (see below), whose sum is σ = 30665062855680. Its totient is φ = 3476983200768.

The previous prime is 11006057153467. The next prime is 11006057153519. The reversal of 11006057153472 is 27435175060011.

It is a super-2 number, since 2×110060571534722 (a number of 27 digits) contains 22 as substring.

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, 10951288 + ... + 11913975.

Almost surely, 211006057153472 is an apocalyptic number.

11006057153472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11006057153472 is an abundant number, since it is smaller than the sum of its proper divisors (19659005702208).

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

11006057153472 is a wasteful number, since it uses less digits than its factorization.

11006057153472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22865410 (or 22865400 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 11006057153472 in words is "eleven trillion, six billion, fifty-seven million, one hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 109 138 184 192 218 276 327 368 436 552 654 736 872 1104 1308 1472 1744 2208 2507 2616 3488 4416 5014 5232 6976 7521 10028 10464 15042 20056 20928 30084 40112 60168 80224 120336 160448 240672 481344 22865263 45730526 68595789 91461052 137191578 182922104 274383156 365844208 525901049 548766312 731688416 1051802098 1097532624 1463376832 1577703147 2103604196 2195065248 2492313667 3155406294 4207208392 4390130496 4984627334 6310812588 7476941001 8414416784 9969254668 12621625176 14953882002 16828833568 19938509336 25243250352 29907764004 33657667136 39877018672 50486500704 57323214341 59815528008 79754037344 100973001408 114646428682 119631056016 159508074688 171969643023 229292857364 239262112032 343939286046 458585714728 478524224064 687878572092 917171429456 1375757144184 1834342858912 2751514288368 3668685717824 5503028576736 11006057153472