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1449980827746 = 231123676618233
BaseRepresentation
bin10101000110011001100…
…101111001100001100010
312010121122122201220201020
4111012121211321201202
5142224030042441441
63030040105150310
7206520606452013
oct25063145714142
95117578656636
101449980827746
11509a2a415a00
121b502378b396
13a696a6c3169
145027258900a
1527ab5eb8e66
hex15199979862

1449980827746 has 96 divisors (see below), whose sum is σ = 3201470893824. Its totient is φ = 437474822400.

The previous prime is 1449980827679. The next prime is 1449980827787. The reversal of 1449980827746 is 6477280899441.

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 47 ways as a sum of consecutive naturals, for example, 176114046 + ... + 176122278.

It is an arithmetic number, because the mean of its divisors is an integer number (33348655144).

Almost surely, 21449980827746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1449980827746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600735446912).

1449980827746 is an abundant number, since it is smaller than the sum of its proper divisors (1751490066078).

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

1449980827746 is a wasteful number, since it uses less digits than its factorization.

1449980827746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 1449980827746 in words is "one trillion, four hundred forty-nine billion, nine hundred eighty million, eight hundred twenty-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 367 661 726 734 1101 1322 1983 2202 3966 4037 7271 8074 8233 12111 14542 16466 21813 24222 24699 43626 44407 49398 79981 88814 90563 133221 159962 181126 239943 242587 266442 271689 479886 485174 543378 727761 996193 1455522 1992386 2668457 2988579 3021511 5336914 5442013 5977158 6043022 8005371 9064533 10884026 16010742 16326039 18129066 29353027 32652078 33236621 58706054 59862143 66473242 88059081 99709863 119724286 176118162 179586429 199419726 359172858 365602831 658483573 731205662 1096808493 1316967146 1975450719 1997218771 2193616986 3950901438 3994437542 5991656313 11983312626 21969406481 43938812962 65908219443 131816438886 241663471291 483326942582 724990413873 1449980827746