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83842729040 = 2457953157103
BaseRepresentation
bin100111000010101101…
…0101000010001010000
322000102010212221020202
41032011122220101100
52333202214312130
6102303344354332
76025462303160
oct1160532502120
9260363787222
1083842729040
1132615042304
12142ba9159a8
137ba22acc95
1440b52705a0
1522aaa2a145
hex13856a8450

83842729040 has 80 divisors (see below), whose sum is σ = 223017297408. Its totient is φ = 28715731968.

The previous prime is 83842729037. The next prime is 83842729057. The reversal of 83842729040 is 4092724838.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455129 + ... + 612231.

Almost surely, 283842729040 is an apocalyptic number.

83842729040 is a gapful number since it is divisible by the number (80) 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 83842729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111508648704).

83842729040 is an abundant number, since it is smaller than the sum of its proper divisors (139174568368).

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

83842729040 is a wasteful number, since it uses less digits than its factorization.

83842729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158076 (or 158070 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 83842729040 in words is "eighty-three billion, eight hundred forty-two million, seven hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 953 1906 3812 4765 6671 7624 9530 13342 15248 19060 26684 33355 38120 53368 66710 76240 106736 133420 157103 266840 314206 533680 628412 785515 1099721 1256824 1571030 2199442 2513648 3142060 4398884 5498605 6284120 8797768 10997210 12568240 17595536 21994420 43988840 87977680 149719159 299438318 598876636 748595795 1048034113 1197753272 1497191590 2096068226 2395506544 2994383180 4192136452 5240170565 5988766360 8384272904 10480341130 11977532720 16768545808 20960682260 41921364520 83842729040