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85847318440 = 235132919928607
BaseRepresentation
bin100111111110011100…
…1100001111110101000
322012120211212121221121
41033330321201332220
52401303403142230
6103234313545024
76126243111142
oct1177471417650
9265524777847
1085847318440
1133453633a64
121477a115174
1381316a3260
1442255a1c92
1523769e777a
hex13fce61fa8

85847318440 has 128 divisors (see below), whose sum is σ = 216276480000. Its totient is φ = 30449599488.

The previous prime is 85847318407. The next prime is 85847318441. The reversal of 85847318440 is 4481374858.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (85847318441) 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, 2986617 + ... + 3015223.

It is an arithmetic number, because the mean of its divisors is an integer number (1689660000).

Almost surely, 285847318440 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 85847318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138240000).

85847318440 is an abundant number, since it is smaller than the sum of its proper divisors (130429161560).

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

85847318440 is a wasteful number, since it uses less digits than its factorization.

85847318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28859 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 85847318440 in words is "eighty-five billion, eight hundred forty-seven million, three hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 199 232 260 290 377 398 520 580 754 796 995 1160 1508 1592 1885 1990 2587 3016 3770 3980 5174 5771 7540 7960 10348 11542 12935 15080 20696 23084 25870 28607 28855 46168 51740 57214 57710 75023 103480 114428 115420 143035 150046 228856 230840 286070 300092 371891 375115 572140 600184 743782 750230 829603 1144280 1487564 1500460 1659206 1859455 2975128 3000920 3318412 3718910 4148015 5692793 6636824 7437820 8296030 10784839 11385586 14875640 16592060 21569678 22771172 28463965 33184120 43139356 45542344 53924195 56927930 74006309 86278712 107848390 113855860 148012618 165090997 215696780 227711720 296025236 330181994 370031545 431393560 592050472 660363988 740063090 825454985 1320727976 1480126180 1650909970 2146182961 2960252360 3301819940 4292365922 6603639880 8584731844 10730914805 17169463688 21461829610 42923659220 85847318440