Search a number
-
+
85445614368 = 253459558731
BaseRepresentation
bin100111110010011110…
…1001001101100100000
322011112211222221120000
41033210331021230200
52344443034124433
6103130404020000
76113264511222
oct1174475115440
9264484887500
1085445614368
1133267904824
1214687691600
1380993b613a
1441c80b6412
1523515e9113
hex13e4f49b20

85445614368 has 120 divisors (see below), whose sum is σ = 255552842160. Its totient is φ = 27999077760.

The previous prime is 85445614367. The next prime is 85445614411. The reversal of 85445614368 is 86341654458.

85445614368 is a `hidden beast` number, since 8 + 5 + 44 + 561 + 4 + 36 + 8 = 666.

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 (85445614361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126438 + ... + 432293.

It is an arithmetic number, because the mean of its divisors is an integer number (2129607018).

Almost surely, 285445614368 is an apocalyptic number.

It is an amenable number.

85445614368 is an abundant number, since it is smaller than the sum of its proper divisors (170107227792).

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

85445614368 is a wasteful number, since it uses less digits than its factorization.

85445614368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558812 (or 558795 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 85445614368 in words is "eighty-five billion, four hundred forty-five million, six hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 25488 38232 50976 76464 152928 558731 1117462 1676193 2234924 3352386 4469848 5028579 6704772 8939696 10057158 13409544 15085737 17879392 20114316 26819088 30171474 32965129 40228632 45257211 53638176 60342948 65930258 80457264 90514422 98895387 120685896 131860516 160914528 181028844 197790774 241371792 263721032 296686161 362057688 395581548 482743584 527442064 593372322 724115376 791163096 890058483 1054884128 1186744644 1448230752 1582326192 1780116966 2373489288 2670175449 3164652384 3560233932 4746978576 5340350898 7120467864 9493957152 10680701796 14240935728 21361403592 28481871456 42722807184 85445614368