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749235661056 = 283460112
BaseRepresentation
bin10101110011100011110…
…11001110100100000000
32122121220112002010110000
422321301323032210000
544233413312123211
61332105532240000
7105062521016601
oct12716173164400
92577815063400
10749235661056
11269826aa8573
12101259610000
1355863a616ac
142839830dda8
15147517bb656
hexae71ece900

749235661056 has 135 divisors (see below), whose sum is σ = 2234456901523. Its totient is φ = 249703672320.

The previous prime is 749235660949. The next prime is 749235661067. The reversal of 749235661056 is 650166532947.

The square root of 749235661056 is 865584.

It is a perfect power (a square), and thus also a powerful number.

749235661056 is a `hidden beast` number, since 7 + 4 + 9 + 23 + 566 + 1 + 0 + 56 = 666.

It is a super-2 number, since 2×7492356610562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 749235660993 and 749235661011.

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 14 ways as a sum of consecutive naturals, for example, 124641091 + ... + 124647101.

Almost surely, 2749235661056 is an apocalyptic number.

749235661056 is the 865584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749235661056

749235661056 is an abundant number, since it is smaller than the sum of its proper divisors (1485221240467).

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

749235661056 is an frugal number, since it uses more digits than its factorization.

749235661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12050 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 749235661056 in words is "seven hundred forty-nine billion, two hundred thirty-five million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6011 6912 10368 12022 18033 20736 24044 36066 48088 54099 72132 96176 108198 144264 162297 192352 216396 288528 324594 384704 432792 486891 577056 649188 769408 865584 973782 1154112 1298376 1538816 1731168 1947564 2308224 2596752 3462336 3895128 4616448 5193504 6924672 7790256 10387008 13849344 15580512 20774016 31161024 36132121 41548032 62322048 72264242 108396363 124644096 144528484 216792726 289056968 325189089 433585452 578113936 650378178 867170904 975567267 1156227872 1300756356 1734341808 1951134534 2312455744 2601512712 2926701801 3468683616 3902269068 4624911488 5203025424 5853403602 6937367232 7804538136 9249822976 10406050848 11706807204 13874734464 15609076272 20812101696 23413614408 27749468928 31218152544 41624203392 46827228816 62436305088 83248406784 93654457632 124872610176 187308915264 249745220352 374617830528 749235661056