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85458451440 = 24353111486351
BaseRepresentation
bin100111110010110111…
…0000111101111110000
322011120202011010201010
41033211232013233300
52400004330421230
6103131543110520
76113511565125
oct1174556075760
9264522133633
1085458451440
113327408247a
121468ba42440
13809bc5c13b
1441c9a9874c
1523527d29b0
hex13e5b87bf0

85458451440 has 80 divisors (see below), whose sum is σ = 273467068416. Its totient is φ = 22053792000.

The previous prime is 85458451367. The next prime is 85458451447. The reversal of 85458451440 is 4415485458.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85458451440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85458451447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5735736 + ... + 5750615.

Almost surely, 285458451440 is an apocalyptic number.

85458451440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85458451440 is an abundant number, since it is smaller than the sum of its proper divisors (188008616976).

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

85458451440 is a wasteful number, since it uses less digits than its factorization.

85458451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11486398 (or 11486392 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 48.

The spelling of 85458451440 in words is "eighty-five billion, four hundred fifty-eight million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 11486351 22972702 34459053 45945404 57431755 68918106 91890808 114863510 137836212 172295265 183781616 229727020 275672424 344590530 356076881 459454040 551344848 689181060 712153762 918908080 1068230643 1378362120 1424307524 1780384405 2136461286 2756724240 2848615048 3560768810 4272922572 5341153215 5697230096 7121537620 8545845144 10682306430 14243075240 17091690288 21364612860 28486150480 42729225720 85458451440