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1063191431490 = 2353111319950839
BaseRepresentation
bin11110111100010110010…
…01011100100101000010
310202122021122020202012120
433132023021130211002
5114404404001301430
62132231242105110
7136545606025506
oct17361311344502
93678248222176
101063191431490
1137a995933741
121520787ab196
1379348c84416
143965cad4306
151c9c9273610
hexf78b25c942

1063191431490 has 128 divisors (see below), whose sum is σ = 2670686208000. Its totient is φ = 270572037120.

The previous prime is 1063191431353. The next prime is 1063191431501. The reversal of 1063191431490 is 941341913601.

1063191431490 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10631914314902 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20887491 + ... + 20938329.

It is an arithmetic number, because the mean of its divisors is an integer number (20864736000).

Almost surely, 21063191431490 is an apocalyptic number.

1063191431490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063191431490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335343104000).

1063191431490 is an abundant number, since it is smaller than the sum of its proper divisors (1607494776510).

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

1063191431490 is a wasteful number, since it uses less digits than its factorization.

1063191431490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51192.

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 1063191431490 in words is "one trillion, sixty-three billion, one hundred ninety-one million, four hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 113 155 186 199 226 310 339 398 465 565 597 678 930 995 1130 1194 1695 1990 2985 3390 3503 5970 6169 7006 10509 12338 17515 18507 21018 22487 30845 35030 37014 44974 50839 52545 61690 67461 92535 101678 105090 112435 134922 152517 185070 224870 254195 305034 337305 508390 674610 697097 762585 1394194 1525170 1576009 2091291 3152018 3485485 4182582 4728027 5744807 6970970 7880045 9456054 10116961 10456455 11489614 15760090 17234421 20233922 20912910 23640135 28724035 30350883 34468842 47280270 50584805 57448070 60701766 86172105 101169610 151754415 172344210 178089017 303508830 313625791 356178034 534267051 627251582 890445085 940877373 1068534102 1143216593 1568128955 1780890170 1881754746 2286433186 2671335255 3136257910 3429649779 4704386865 5342670510 5716082965 6859299558 9408773730 11432165930 17148248895 34296497790 35439714383 70879428766 106319143149 177198571915 212638286298 354397143830 531595715745 1063191431490