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85447981824 = 2831743152203
BaseRepresentation
bin100111110010100011…
…0001011101100000000
322011120000110020002120
41033211012023230000
52344444140404244
6103130530444240
76113323601352
oct1174506135400
9264500406076
1085447981824
11332691814a7
1214688433680
138099a348ba
1441c85310d2
152351915819
hex13e518bb00

85447981824 has 144 divisors (see below), whose sum is σ = 246395140992. Its totient is φ = 26183614464.

The previous prime is 85447981769. The next prime is 85447981847. The reversal of 85447981824 is 42818974458.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485307 + ... + 637509.

It is an arithmetic number, because the mean of its divisors is an integer number (1711077368).

Almost surely, 285447981824 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 85447981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123197570496).

85447981824 is an abundant number, since it is smaller than the sum of its proper divisors (160947159168).

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

85447981824 is a wasteful number, since it uses less digits than its factorization.

85447981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152282 (or 152268 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The spelling of 85447981824 in words is "eighty-five billion, four hundred forty-seven million, nine hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 516 544 688 731 768 816 1032 1088 1376 1462 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8772 11008 11696 13056 16512 17544 23392 33024 35088 46784 70176 93568 140352 152203 187136 280704 304406 456609 561408 608812 913218 1217624 1826436 2435248 2587451 3652872 4870496 5174902 6544729 7305744 7762353 9740992 10349804 13089458 14611488 15524706 19481984 19634187 20699608 26178916 29222976 31049412 38963968 39268374 41399216 52357832 58445952 62098824 78536748 82798432 104715664 111260393 116891904 124197648 157073496 165596864 209431328 222520786 248395296 314146992 331193728 333781179 418862656 445041572 496790592 628293984 662387456 667562358 837725312 890083144 993581184 1256587968 1335124716 1675450624 1780166288 1987162368 2513175936 2670249432 3560332576 5026351872 5340498864 7120665152 10680997728 14241330304 21361995456 28482660608 42723990912 85447981824