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45749053840 = 24572106310979
BaseRepresentation
bin101010100110110110…
…110010100110010000
311101002022220201202111
4222212312302212100
51222143224210330
633003344555104
73206463353500
oct524666624620
9141068821674
1045749053840
111844716a306
128a49322a94
134411167079
1422ddd35a00
1512cb5a032a
hexaa6db2990

45749053840 has 120 divisors (see below), whose sum is σ = 123860197440. Its totient is φ = 15669206784.

The previous prime is 45749053817. The next prime is 45749053873. The reversal of 45749053840 is 4835094754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 23 ways as a sum of consecutive naturals, for example, 4161471 + ... + 4172449.

It is an arithmetic number, because the mean of its divisors is an integer number (1032168312).

Almost surely, 245749053840 is an apocalyptic number.

45749053840 is a gapful number since it is divisible by the number (40) 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 45749053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61930098720).

45749053840 is an abundant number, since it is smaller than the sum of its proper divisors (78111143600).

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

45749053840 is a wasteful number, since it uses less digits than its factorization.

45749053840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 45749053840 in words is "forty-five billion, seven hundred forty-nine million, fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1063 1960 2126 3920 4252 5315 7441 8504 10630 10979 14882 17008 21260 21958 29764 37205 42520 43916 52087 54895 59528 74410 76853 85040 87832 104174 109790 119056 148820 153706 175664 208348 219580 260435 297640 307412 384265 416696 439160 520870 537971 595280 614824 768530 833392 878320 1041740 1075942 1229648 1537060 2083480 2151884 2689855 3074120 4166960 4303768 5379710 6148240 8607536 10759420 11670677 21518840 23341354 43037680 46682708 58353385 81694739 93365416 116706770 163389478 186730832 233413540 326778956 408473695 466827080 571863173 653557912 816947390 933654160 1143726346 1307115824 1633894780 2287452692 2859315865 3267789560 4574905384 5718631730 6535579120 9149810768 11437263460 22874526920 45749053840