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90544420836 = 22347322292
BaseRepresentation
bin101010001010011011…
…1100011011111100100
322122201012022011010000
41110110313203133210
52440413332431321
6105332345101300
76353526610212
oct1242467433744
9278635264100
1090544420836
1135443a68571
121566b187830
1386cc85b19c
14454d337cb2
15254e06b826
hex1514de37e4

90544420836 has 135 divisors (see below), whose sum is σ = 241040456811. Its totient is φ = 29638037376.

The previous prime is 90544420819. The next prime is 90544420853. The reversal of 90544420836 is 63802444509.

The square root of 90544420836 is 300906.

It is a perfect power (a square), and thus also a powerful number.

90544420836 is a `hidden beast` number, since 9 + 0 + 544 + 4 + 20 + 83 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (90544420819) and next prime (90544420853).

It can be written as a sum of positive squares in 4 ways, for example, as 27872302500 + 62672118336 = 166950^2 + 250344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90544420791 and 90544420800.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 395390370 + ... + 395390598.

Almost surely, 290544420836 is an apocalyptic number.

90544420836 is the 300906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90544420836

90544420836 is an abundant number, since it is smaller than the sum of its proper divisors (150496035975).

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

90544420836 is an equidigital number, since it uses as much as digits as its factorization.

90544420836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 90544420836 in words is "ninety billion, five hundred forty-four million, four hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 229 292 324 438 458 657 687 876 916 1314 1374 1971 2061 2628 2748 3942 4122 5329 5913 6183 7884 8244 10658 11826 12366 15987 16717 18549 21316 23652 24732 31974 33434 37098 47961 50151 52441 63948 66868 74196 95922 100302 104882 143883 150453 157323 191844 200604 209764 287766 300906 314646 431649 451359 471969 575532 601812 629292 863298 902718 943938 1220341 1354077 1415907 1726596 1805436 1887876 2440682 2708154 2831814 3661023 3828193 4247721 4881364 5416308 5663628 7322046 7656386 8495442 10983069 11484579 14644092 15312772 16990884 21966138 22969158 32949207 34453737 43932276 45938316 65898414 68907474 98847621 103361211 131796828 137814948 197695242 206722422 279458089 310083633 395390484 413444844 558916178 620167266 838374267 1117832356 1240334532 1676748534 2515122801 3353497068 5030245602 7545368403 10060491204 15090736806 22636105209 30181473612 45272210418 90544420836