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42850608075 = 325211292712203
BaseRepresentation
bin100111111010000110…
…000110001111001011
311002121022222102122100
4213322012012033023
51200224223424300
631404005124443
73044610105342
oct477206061713
9132538872570
1042850608075
111719a062090
12837a6b9723
13406b81b8c2
142107006b59
1511abdbb700
hex9fa1863cb

42850608075 has 144 divisors (see below), whose sum is σ = 86973719040. Its totient is φ = 19976544000.

The previous prime is 42850608043. The next prime is 42850608107. The reversal of 42850608075 is 57080605824.

It is an interprime number because it is at equal distance from previous prime (42850608043) and next prime (42850608107).

It is not a de Polignac number, because 42850608075 - 25 = 42850608043 is a prime.

It is a super-2 number, since 2×428506080752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42850608075.

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 143 ways as a sum of consecutive naturals, for example, 19449924 + ... + 19452126.

It is an arithmetic number, because the mean of its divisors is an integer number (603984160).

Almost surely, 242850608075 is an apocalyptic number.

42850608075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42850608075 is an abundant number, since it is smaller than the sum of its proper divisors (44123110965).

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

42850608075 is a wasteful number, since it uses less digits than its factorization.

42850608075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42850608075 in words is "forty-two billion, eight hundred fifty million, six hundred eight thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 145 165 225 261 271 275 319 435 495 725 813 825 957 1305 1355 1595 2175 2203 2439 2475 2871 2981 4065 4785 6525 6609 6775 7859 7975 8943 11015 12195 14355 14905 19827 20325 23577 23925 24233 26829 33045 39295 44715 55075 60975 63887 70731 71775 72699 74525 86449 99135 117885 121165 134145 165225 191661 196475 218097 223575 259347 319435 353655 363495 432245 495675 574983 589425 597013 605825 670725 702757 778041 958305 1090485 1296735 1597175 1768275 1791039 1817475 2108271 2161225 2874915 2985065 3513785 3890205 4791525 5373117 5452425 6324813 6483675 6567143 8955195 10541355 14374575 14925325 17313377 17568925 19451025 19701429 26865585 31624065 32835715 44775975 51940131 52706775 59104287 86566885 98507145 134327925 155820393 158120325 164178575 190447147 259700655 295521435 432834425 492535725 571341441 779101965 952235735 1298503275 1477607175 1714024323 2856707205 3895509825 4761178675 8570121615 14283536025 42850608075