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45742404840 = 23351135819677
BaseRepresentation
bin101010100110011101…
…011011010011101000
311101001212101221001020
4222212131123103220
51222140023423330
633002550252440
73206353011606
oct524635332350
9141055357036
1045742404840
1118443438870
128a47057120
13440c979852
1422dd0c4876
1512cabda210
hexaa675b4e8

45742404840 has 128 divisors (see below), whose sum is σ = 149759694720. Its totient is φ = 11084825600.

The previous prime is 45742404821. The next prime is 45742404863. The reversal of 45742404840 is 4840424754.

It is a junction number, because it is equal to n+sod(n) for n = 45742404792 and 45742404801.

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 31 ways as a sum of consecutive naturals, for example, 4722082 + ... + 4731758.

It is an arithmetic number, because the mean of its divisors is an integer number (1169997615).

Almost surely, 245742404840 is an apocalyptic number.

45742404840 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 45742404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74879847360).

45742404840 is an abundant number, since it is smaller than the sum of its proper divisors (104017289880).

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

45742404840 is a wasteful number, since it uses less digits than its factorization.

45742404840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 42.

The spelling of 45742404840 in words is "forty-five billion, seven hundred forty-two million, four hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3581 7162 9677 10743 14324 17905 19354 21486 28648 29031 35810 38708 39391 42972 48385 53715 58062 71620 77416 78782 85944 96770 106447 107430 116124 118173 143240 145155 157564 193540 196955 212894 214860 232248 236346 290310 315128 319341 387080 393910 425788 429720 472692 532235 580620 590865 638682 787820 851576 945384 1064470 1161240 1181730 1277364 1575640 1596705 2128940 2363460 2554728 3193410 4257880 4726920 6386820 12773640 34653337 69306674 103960011 138613348 173266685 207920022 277226696 346533370 381186707 415840044 519800055 693066740 762373414 831680088 1039600110 1143560121 1386133480 1524746828 1905933535 2079200220 2287120242 3049493656 3811867070 4158400440 4574240484 5717800605 7623734140 9148480968 11435601210 15247468280 22871202420 45742404840