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445942004010 = 235192157262271
BaseRepresentation
bin1100111110101000011…
…01101111100100101010
31120122001110112222121220
412133110031233210222
524301242123112020
6540510220442510
744134600330446
oct6372415574452
91518043488556
10445942004010
111621396a9a58
12725150a9436
133308a7618b9
14178259a3826
15b8eedae240
hex67d436f92a

445942004010 has 96 divisors (see below), whose sum is σ = 1136753989632. Its totient is φ = 111941032320.

The previous prime is 445942003999. The next prime is 445942004033. The reversal of 445942004010 is 10400249544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1569175 + ... + 1831445.

It is an arithmetic number, because the mean of its divisors is an integer number (11841187392).

Almost surely, 2445942004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445942004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568376994816).

445942004010 is an abundant number, since it is smaller than the sum of its proper divisors (690811985622).

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

445942004010 is a wasteful number, since it uses less digits than its factorization.

445942004010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262476 (or 262457 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 445942004010 in words is "four hundred forty-five billion, nine hundred forty-two million, four thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 157 190 285 314 361 471 570 722 785 942 1083 1570 1805 2166 2355 2983 3610 4710 5415 5966 8949 10830 14915 17898 29830 44745 56677 89490 113354 170031 262271 283385 340062 524542 566770 786813 850155 1311355 1573626 1700310 2622710 3934065 4983149 7868130 9966298 14949447 24915745 29898894 41176547 49831490 74747235 82353094 94679831 123529641 149494470 189359662 205882735 247059282 284039493 411765470 473399155 568078986 617648205 782354393 946798310 1235296410 1420197465 1564708786 2347063179 2840394930 3911771965 4694126358 7823543930 11735315895 14864733467 23470631790 29729466934 44594200401 74323667335 89188400802 148647334670 222971002005 445942004010