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45480043728 = 2433719791563
BaseRepresentation
bin101010010110110100…
…100110010011010000
311100101120201121021000
4222112310212103100
51221120342344403
632520535102000
73200015664450
oct522664462320
9140346647230
1045480043728
1118319331aa9
128993211900
13439a4c99a2
1422b630bd60
1512b2b637a3
hexa96d264d0

45480043728 has 160 divisors (see below), whose sum is σ = 157046297600. Its totient is φ = 12310372224.

The previous prime is 45480043723. The next prime is 45480043799. The reversal of 45480043728 is 82734008454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45480043723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338326 + ... + 453237.

It is an arithmetic number, because the mean of its divisors is an integer number (981539360).

Almost surely, 245480043728 is an apocalyptic number.

45480043728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45480043728 is an abundant number, since it is smaller than the sum of its proper divisors (111566253872).

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

45480043728 is a wasteful number, since it uses less digits than its factorization.

45480043728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791606 (or 791594 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 45480043728 in words is "forty-five billion, four hundred eighty million, forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 791563 1583126 2374689 3166252 4749378 5540941 6332504 7124067 9498756 11081882 12665008 14248134 15039697 16622823 18997512 21372201 22163764 28496268 30079394 33245646 37995024 42744402 44327528 45119091 49868469 56992536 60158788 66491292 85488804 88655056 90238182 99736938 105277879 113985072 120317576 132982584 135357273 149605407 170977608 180476364 199473876 210555758 240635152 265965168 270714546 299210814 315833637 341955216 360952728 398947752 406071819 421111516 541429092 598421628 631667274 721905456 797895504 812143638 842223032 947500911 1082858184 1196843256 1263334548 1624287276 1684446064 1895001822 2165716368 2393686512 2526669096 2842502733 3248574552 3790003644 5053338192 5685005466 6497149104 7580007288 11370010932 15160014576 22740021864 45480043728