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749036061040 = 24543308370627
BaseRepresentation
bin10101110011001100000…
…01110100000101110000
32122121101121111101200211
422321212001310011300
544233011212423130
61332034042153504
7105054545316421
oct12714601640560
92577347441624
10749036061040
11269734369083
121012027b2894
13558315b7487
14283799d3648
151473dee0a2a
hexae66074170

749036061040 has 80 divisors (see below), whose sum is σ = 1782612298368. Its totient is φ = 292547582208.

The previous prime is 749036061031. The next prime is 749036061113. The reversal of 749036061040 is 40160630947.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7490360610402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 749036060984 and 749036061002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10570207 + ... + 10640833.

Almost surely, 2749036061040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749036061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891306149184).

749036061040 is an abundant number, since it is smaller than the sum of its proper divisors (1033576237328).

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

749036061040 is a wasteful number, since it uses less digits than its factorization.

749036061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73766 (or 73760 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

Adding to 749036061040 its reverse (40160630947), we get a palindrome (789196691987).

The spelling of 749036061040 in words is "seven hundred forty-nine billion, thirty-six million, sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3083 3440 6166 12332 15415 24664 30830 49328 61660 70627 123320 132569 141254 246640 265138 282508 353135 530276 565016 662845 706270 1060552 1130032 1325690 1412540 2121104 2651380 2825080 3036961 5302760 5650160 6073922 10605520 12147844 15184805 24295688 30369610 48591376 60739220 121478440 217743041 242956880 435486082 870972164 1088715205 1741944328 2177430410 3483888656 4354860820 8709721640 9362950763 17419443280 18725901526 37451803052 46814753815 74903606104 93629507630 149807212208 187259015260 374518030520 749036061040