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13405051221552 = 2433138311224351
BaseRepresentation
bin1100001100010001101101…
…0100001111011000110000
31202110111210001211112121000
43003010123110033120300
53224112021103042202
644302110122002000
72552324444233014
oct303043324173060
952414701745530
1013405051221552
1142a9060a44661
121605ba4646300
1376312494a743
14344b44dc0544
15183a6975391c
hexc311b50f630

13405051221552 has 80 divisors (see below), whose sum is σ = 38477911541760. Its totient is φ = 4468298184000.

The previous prime is 13405051221493. The next prime is 13405051221571. The reversal of 13405051221552 is 25512215050431.

13405051221552 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 50 + 51 + 2 + 2 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 59638177 + ... + 59862527.

It is an arithmetic number, because the mean of its divisors is an integer number (480973894272).

Almost surely, 213405051221552 is an apocalyptic number.

13405051221552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13405051221552 is an abundant number, since it is smaller than the sum of its proper divisors (25072860320208).

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

13405051221552 is a wasteful number, since it uses less digits than its factorization.

13405051221552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362679 (or 362667 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 13405051221552 its reverse (25512215050431), we get a palindrome (38917266271983).

The spelling of 13405051221552 in words is "thirteen trillion, four hundred five billion, fifty-one million, two hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 138311 224351 276622 414933 448702 553244 673053 829866 897404 1106488 1244799 1346106 1659732 1794808 2019159 2212976 2489598 2692212 3319464 3589616 3734397 4038318 4979196 5384424 6057477 6638928 7468794 8076636 9958392 10768848 12114954 14937588 16153272 19916784 24229908 29875176 32306544 48459816 59750352 96919632 31030211161 62060422322 93090633483 124120844644 186181266966 248241689288 279271900449 372362533932 496483378576 558543800898 744725067864 837815701347 1117087601796 1489450135728 1675631402694 2234175203592 3351262805388 4468350407184 6702525610776 13405051221552