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13774991073552 = 243520531725743
BaseRepresentation
bin1100100001110011110101…
…1100110010000100010000
31210202212122210221011200000
43020130331130302010100
53301142140203323202
645144051000530000
72621132056133412
oct310347534620420
953685583834600
1013774991073552
114430a39390935
121665828780900
1378bc8c5c4557
143589dab5c9b2
1518d4bc0e191c
hexc873d732110

13774991073552 has 120 divisors (see below), whose sum is σ = 39998148537984. Its totient is φ = 4589424468864.

The previous prime is 13774991073551. The next prime is 13774991073577. The reversal of 13774991073552 is 25537019947731.

13774991073552 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 9 + 9 + 1 + 0 + 73 + 552 = 666.

It is a super-3 number, since 3×137749910735523 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13774991073552.

It is not an unprimeable number, because it can be changed into a prime (13774991073551) 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 23 ways as a sum of consecutive naturals, for example, 7119193 + ... + 8844935.

Almost surely, 213774991073552 is an apocalyptic number.

13774991073552 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 13774991073552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999074268992).

13774991073552 is an abundant number, since it is smaller than the sum of its proper divisors (26223157464432).

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

13774991073552 is a wasteful number, since it uses less digits than its factorization.

13774991073552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727819 (or 1727801 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 13774991073552 in words is "thirteen trillion, seven hundred seventy-four billion, nine hundred ninety-one million, seventy-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 2053 3888 4106 6159 8212 12318 16424 18477 24636 32848 36954 49272 55431 73908 98544 110862 147816 166293 221724 295632 332586 443448 498879 665172 886896 997758 1330344 1725743 1995516 2660688 3451486 3991032 5177229 6902972 7982064 10354458 13805944 15531687 20708916 27611888 31063374 41417832 46595061 62126748 82835664 93190122 124253496 139785183 186380244 248506992 279570366 372760488 419355549 559140732 745520976 838711098 1118281464 1677422196 2236562928 3354844392 3542950379 6709688784 7085900758 10628851137 14171801516 21257702274 28343603032 31886553411 42515404548 56687206064 63773106822 85030809096 95659660233 127546213644 170061618192 191319320466 255092427288 286978980699 382638640932 510184854576 573957961398 765277281864 860936942097 1147915922796 1530554563728 1721873884194 2295831845592 3443747768388 4591663691184 6887495536776 13774991073552