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85318548040 = 235111743265261
BaseRepresentation
bin100111101110101100…
…0011011101001001000
322011012222220022022201
41033131120123221020
52344213022014130
6103110024325544
76110162456365
oct1173530335110
9264188808281
1085318548040
1133202106a30
12146510138b4
138078c86a6b
1441b527b46c
152345399bca
hex13dd61ba48

85318548040 has 128 divisors (see below), whose sum is σ = 226894504320. Its totient is φ = 28520755200.

The previous prime is 85318547987. The next prime is 85318548041. The reversal of 85318548040 is 4084581358.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85318548041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189010 + ... + 454270.

It is an arithmetic number, because the mean of its divisors is an integer number (1772613315).

Almost surely, 285318548040 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 85318548040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113447252160).

85318548040 is an abundant number, since it is smaller than the sum of its proper divisors (141575956280).

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

85318548040 is a wasteful number, since it uses less digits than its factorization.

85318548040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265343 (or 265339 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 85318548040 in words is "eighty-five billion, three hundred eighteen million, five hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 43 44 55 68 85 86 88 110 136 170 172 187 215 220 340 344 374 430 440 473 680 731 748 860 935 946 1462 1496 1720 1870 1892 2365 2924 3655 3740 3784 4730 5848 7310 7480 8041 9460 14620 16082 18920 29240 32164 40205 64328 80410 160820 265261 321640 530522 1061044 1326305 2122088 2652610 2917871 4509437 5305220 5835742 9018874 10610440 11406223 11671484 14589355 18037748 22547185 22812446 23342968 29178710 36075496 45094370 45624892 49603807 57031115 58357420 90188740 91249784 99207614 114062230 116714840 125468453 180377480 193905791 198415228 228124460 248019035 250936906 387811582 396830456 456248920 496038070 501873812 627342265 775623164 969528955 992076140 1003747624 1254684530 1551246328 1939057910 1984152280 2132963701 2509369060 3878115820 4265927402 5018738120 7756231640 8531854804 10664818505 17063709608 21329637010 42659274020 85318548040