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83125958340 = 223513719315237
BaseRepresentation
bin100110101101010110…
…0010111011011000100
321221120012011012200210
41031122230113123010
52330220221131330
6102104301435420
76001636662525
oct1153254273304
9257505135623
1083125958340
1132287488927
121413a86bb70
137ab994b2c9
144047dac84c
152267b438b0
hex135ab176c4

83125958340 has 96 divisors (see below), whose sum is σ = 234617814144. Its totient is φ = 21989524480.

The previous prime is 83125958329. The next prime is 83125958347. The reversal of 83125958340 is 4385952138.

It is a self number, because there is not a number n which added to its sum of digits gives 83125958340.

It is not an unprimeable number, because it can be changed into a prime (83125958347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15870202 + ... + 15875438.

It is an arithmetic number, because the mean of its divisors is an integer number (2443935564).

Almost surely, 283125958340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83125958340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117308907072).

83125958340 is an abundant number, since it is smaller than the sum of its proper divisors (151491855804).

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

83125958340 is a wasteful number, since it uses less digits than its factorization.

83125958340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 83125958340 in words is "eighty-three billion, one hundred twenty-five million, nine hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 1931 2055 2740 3862 4110 5237 5793 7724 8220 9655 10474 11586 15711 19310 20948 23172 26185 28965 31422 38620 52370 57930 62844 78555 104740 115860 157110 264547 314220 529094 717469 793641 1058188 1322735 1434938 1587282 2152407 2645470 2869876 3174564 3587345 3968205 4304814 5290940 7174690 7936410 8609628 10112647 10762035 14349380 15872820 20225294 21524070 30337941 40450588 43048140 50563235 60675882 101126470 121351764 151689705 202252940 303379410 606758820 1385432639 2770865278 4156297917 5541730556 6927163195 8312595834 13854326390 16625191668 20781489585 27708652780 41562979170 83125958340