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85321322496 = 2123213916651
BaseRepresentation
bin100111101110110001…
…1000001000000000000
322011020012010021011100
41033131203001000000
52344214224304441
6103110204014400
76110225163234
oct1173543010000
9264205107140
1085321322496
1133203731473
1214651b31400
138079718857
1441b57a05c4
152345746cb6
hex13dd8c1000

85321322496 has 156 divisors (see below), whose sum is σ = 248241688240. Its totient is φ = 28234137600.

The previous prime is 85321322479. The next prime is 85321322557. The reversal of 85321322496 is 69422312358.

85321322496 is a `hidden beast` number, since 8 + 532 + 1 + 3 + 2 + 24 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5115771 + ... + 5132421.

Almost surely, 285321322496 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 85321322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124120844120).

85321322496 is an abundant number, since it is smaller than the sum of its proper divisors (162920365744).

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

85321322496 is a wasteful number, since it uses less digits than its factorization.

85321322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820 (or 16795 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 85321322496 in words is "eighty-five billion, three hundred twenty-one million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 834 1024 1112 1152 1251 1536 1668 2048 2224 2304 2502 3072 3336 4096 4448 4608 5004 6144 6672 8896 9216 10008 12288 13344 16651 17792 18432 20016 26688 33302 35584 36864 40032 49953 53376 66604 71168 80064 99906 106752 133208 142336 149859 160128 199812 213504 266416 284672 299718 320256 399624 427008 532832 569344 599436 640512 799248 854016 1065664 1198872 1281024 1598496 1708032 2131328 2314489 2397744 2562048 3196992 4262656 4628978 4795488 5124096 6393984 6943467 8525312 9257956 9590976 12787968 13886934 17050624 18515912 19181952 20830401 25575936 27773868 34101248 37031824 38363904 41660802 51151872 55547736 68202496 74063648 76727808 83321604 102303744 111095472 148127296 153455616 166643208 204607488 222190944 296254592 306911232 333286416 444381888 592509184 613822464 666572832 888763776 1185018368 1333145664 1777527552 2370036736 2666291328 3555055104 4740073472 5332582656 7110110208 9480146944 10665165312 14220220416 21330330624 28440440832 42660661248 85321322496