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85457230480 = 2452346444147
BaseRepresentation
bin100111110010110100…
…1011101101010010000
322011120122212002212101
41033211221131222100
52400004022333410
6103131501010144
76113465321356
oct1174551355220
9264518762771
1085457230480
1133273419116
121468b553954
13809b92248b
1441c985b7d6
152352640d3a
hex13e5a5da90

85457230480 has 40 divisors (see below), whose sum is σ = 207326676672. Its totient is φ = 32696678784.

The previous prime is 85457230477. The next prime is 85457230499. The reversal of 85457230480 is 8403275458.

It is a tau number, because it is divible by the number of its divisors (40).

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 a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 85457230480.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23220234 + ... + 23223913.

Almost surely, 285457230480 is an apocalyptic number.

85457230480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85457230480 is an abundant number, since it is smaller than the sum of its proper divisors (121869446192).

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

85457230480 is a wasteful number, since it uses less digits than its factorization.

85457230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46444183 (or 46444177 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 85457230480 in words is "eighty-five billion, four hundred fifty-seven million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 46444147 92888294 185776588 232220735 371553176 464441470 743106352 928882940 1068215381 1857765880 2136430762 3715531760 4272861524 5341076905 8545723048 10682153810 17091446096 21364307620 42728615240 85457230480