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85316097426 = 23729118759011
BaseRepresentation
bin100111101110100111…
…1000101010110010010
322011012211021210201020
41033131033011112102
52344211410104201
6103105500020310
76110132601630
oct1173517052622
9264184253636
1085316097426
113320079282a
1214650231696
1380786094b1
1441b4c00350
152345063a36
hex13dd3c5592

85316097426 has 64 divisors (see below), whose sum is σ = 201906017280. Its totient is φ = 23515248960.

The previous prime is 85316097421. The next prime is 85316097431. The reversal of 85316097426 is 62479061358.

85316097426 is a nontrivial binomial coefficient, being equal to C(413077, 2).

It is an interprime number because it is at equal distance from previous prime (85316097421) and next prime (85316097431).

It is not an unprimeable number, because it can be changed into a prime (85316097421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416261 + ... + 1475271.

It is an arithmetic number, because the mean of its divisors is an integer number (3154781520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85316097426 = 170632194852, but 3⋅85316097426 = 255948292278 is not.

Almost surely, 285316097426 is an apocalyptic number.

85316097426 is the 413076-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85316097426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100953008640).

85316097426 is an abundant number, since it is smaller than the sum of its proper divisors (116589919854).

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

85316097426 is a wasteful number, since it uses less digits than its factorization.

85316097426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60239.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 85316097426 in words is "eighty-five billion, three hundred sixteen million, ninety-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1187 1218 2374 3561 7122 8309 16618 24927 34423 49854 59011 68846 103269 118022 177033 206538 240961 354066 413077 481922 722883 826154 1239231 1445766 1711319 2478462 3422638 5133957 10267914 11979233 23958466 35937699 70046057 71875398 140092114 210138171 420276342 490322399 980644798 1470967197 2031335653 2941934394 4062671306 6094006959 12188013918 14219349571 28438699142 42658048713 85316097426