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85465199250 = 2335337342203
BaseRepresentation
bin100111110011000011…
…1110111001010010010
322011121012211221222000
41033212013313022102
52400013042334000
6103132343454430
76113623131054
oct1174607671222
9264535757860
1085465199250
1133277971182
1214692157416
1380a0482622
1441ca9338d4
1523531b7000
hex13e61f7292

85465199250 has 128 divisors (see below), whose sum is σ = 243430237440. Its totient is φ = 22174689600.

The previous prime is 85465199249. The next prime is 85465199251. The reversal of 85465199250 is 5299156458.

85465199250 is a `hidden beast` number, since 8 + 546 + 5 + 1 + 9 + 92 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85465199249) and next prime (85465199251).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85465199251) 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, 78649 + ... + 420851.

It is an arithmetic number, because the mean of its divisors is an integer number (1901798730).

Almost surely, 285465199250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85465199250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121715118720).

85465199250 is an abundant number, since it is smaller than the sum of its proper divisors (157965038190).

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

85465199250 is a wasteful number, since it uses less digits than its factorization.

85465199250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342266 (or 342250 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 85465199250 in words is "eighty-five billion, four hundred sixty-five million, one hundred ninety-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 90 111 125 135 150 185 222 225 250 270 333 370 375 450 555 666 675 750 925 999 1110 1125 1350 1665 1850 1998 2250 2775 3330 3375 4625 4995 5550 6750 8325 9250 9990 13875 16650 24975 27750 41625 49950 83250 124875 249750 342203 684406 1026609 1711015 2053218 3079827 3422030 5133045 6159654 8555075 9239481 10266090 12661511 15399135 17110150 18478962 25323022 25665225 30798270 37984533 42775375 46197405 51330450 63307555 75969066 76995675 85550750 92394810 113953599 126615110 128326125 153991350 189922665 227907198 230987025 256652250 316537775 341860797 379845330 384978375 461974050 569767995 633075550 683721594 769956750 949613325 1139535990 1154935125 1582688875 1709303985 1899226650 2309870250 2848839975 3165377750 3418607970 4748066625 5697679950 8546519925 9496133250 14244199875 17093039850 28488399750 42732599625 85465199250