Search a number
-
+
83078526050 = 25213619721601
BaseRepresentation
bin100110101011111011…
…1011011010001100010
321221102212220101211022
41031113313123101202
52330121100313200
6102055445045442
76000522551132
oct1152767332142
9257385811738
1083078526050
1132262731293
12141269b6882
137aacb81870
144041982ac2
1522638c4885
hex1357ddb462

83078526050 has 96 divisors (see below), whose sum is σ = 170892385104. Its totient is φ = 29859840000.

The previous prime is 83078526029. The next prime is 83078526059. The reversal of 83078526050 is 5062587038.

It can be written as a sum of positive squares in 24 ways, for example, as 14823306001 + 68255220049 = 121751^2 + 261257^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83078525992 and 83078526010.

It is not an unprimeable number, because it can be changed into a prime (83078526059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3835250 + ... + 3856850.

Almost surely, 283078526050 is an apocalyptic number.

83078526050 is an abundant number, since it is smaller than the sum of its proper divisors (87813859054).

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

83078526050 is a wasteful number, since it uses less digits than its factorization.

83078526050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21784 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 83078526050 in words is "eighty-three billion, seventy-eight million, five hundred twenty-six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 61 65 97 122 130 194 305 325 485 610 650 793 970 1261 1525 1586 2425 2522 3050 3965 4850 5917 6305 7930 11834 12610 19825 21601 29585 31525 39650 43202 59170 63050 76921 108005 147925 153842 216010 280813 295850 384605 540025 561626 769210 1080050 1317661 1404065 1923025 2095297 2635322 2808130 3846050 4190594 6588305 7020325 10476485 13176610 14040650 17129593 20952970 27238861 32941525 34259186 52382425 54477722 65883050 85647965 104764850 127813117 136194305 171295930 255626234 272388610 428239825 639065585 680971525 856479650 1278131170 1361943050 1661570521 3195327925 3323141042 6390655850 8307852605 16615705210 41539263025 83078526050