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83080003578 = 231113179416053
BaseRepresentation
bin100110101011111110…
…1000011111111111010
321221102222200110121120
41031113331003333322
52330121440103303
6102055540450110
76000541243605
oct1152775037772
9257388613546
1083080003578
1132263550390
12141273a9936
137ab027b240
144041c4933c
152263ab7553
hex1357f43ffa

83080003578 has 128 divisors (see below), whose sum is σ = 206945673984. Its totient is φ = 21845299200.

The previous prime is 83080003553. The next prime is 83080003579. The reversal of 83080003578 is 87530008038.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83080003579) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13722400 + ... + 13728452.

It is an arithmetic number, because the mean of its divisors is an integer number (1616763078).

Almost surely, 283080003578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83080003578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103472836992).

83080003578 is an abundant number, since it is smaller than the sum of its proper divisors (123865670406).

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

83080003578 is a wasteful number, since it uses less digits than its factorization.

83080003578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 83080003578 in words is "eighty-three billion, eighty million, three thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 941 1122 1326 1882 2431 2823 4862 5646 6053 7293 10351 12106 12233 14586 15997 18159 20702 24466 31053 31994 36318 36699 47991 62106 66583 73398 78689 95982 102901 133166 134563 157378 175967 199749 205802 207961 236067 269126 308703 351934 399498 403689 415922 472134 527901 617406 623883 807378 865579 1055802 1131911 1247766 1337713 1731158 2263822 2287571 2596737 2675426 3395733 4013139 4575142 5193474 5695873 6791466 6862713 8026278 11391746 13725426 14714843 17087619 29429686 34175238 44144529 62654603 74046349 88289058 96829841 125309206 148092698 187963809 193659682 222139047 290489523 375927618 444278094 580979046 814509839 1065128251 1258787933 1629019678 2130256502 2443529517 2517575866 3195384753 3776363799 4887059034 6390769506 7552727598 13846667263 27693334526 41540001789 83080003578