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45738155568 = 2437461295283
BaseRepresentation
bin101010100110001101…
…001101111000110000
311101001120102001010210
4222212031031320300
51222132431434233
633002315224120
73206301623220
oct524615157060
9141046361123
1045738155568
1118440aa6276
128a45748040
13440bb1c6a1
1422dc6da080
1512ca64b163
hexaa634de30

45738155568 has 80 divisors (see below), whose sum is σ = 135329838336. Its totient is φ = 13039653120.

The previous prime is 45738155527. The next prime is 45738155623. The reversal of 45738155568 is 86555183754.

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, 7255 + ... + 302537.

Almost surely, 245738155568 is an apocalyptic number.

45738155568 is a gapful number since it is divisible by the number (48) 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 45738155568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67664919168).

45738155568 is an abundant number, since it is smaller than the sum of its proper divisors (89591682768).

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

45738155568 is a wasteful number, since it uses less digits than its factorization.

45738155568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295762 (or 295756 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 57.

The spelling of 45738155568 in words is "forty-five billion, seven hundred thirty-eight million, one hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 461 922 1383 1844 2766 3227 3688 5532 6454 7376 9681 11064 12908 19362 22128 25816 38724 51632 77448 154896 295283 590566 885849 1181132 1771698 2066981 2362264 3543396 4133962 4724528 6200943 7086792 8267924 12401886 14173584 16535848 24803772 33071696 49607544 99215088 136125463 272250926 408376389 544501852 816752778 952878241 1089003704 1633505556 1905756482 2178007408 2858634723 3267011112 3811512964 5717269446 6534022224 7623025928 11434538892 15246051856 22869077784 45738155568