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90678120520036 = 2272232295732
BaseRepresentation
bin10100100111100010100101…
…001010011001100101100100
3102220001202002010110221010111
4110213202211022121211210
543341132242323120121
6520504541541502404
725046164234011100
oct2447424512314544
9386052063427114
1090678120520036
1126990414072705
12a20603b111a04
133b79baa58220a
141856bb725a900
15a73b2cbb02e1
hex5278a5299964

90678120520036 has 81 divisors (see below), whose sum is σ = 192976079621241. Its totient is φ = 37171140261024.

The previous prime is 90678120519947. The next prime is 90678120520087. The reversal of 90678120520036 is 63002502187609.

The square root of 90678120520036 is 9522506.

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

It can be written as a sum of positive squares in only one way, i.e., 11993130872100 + 78684989647936 = 3463110^2 + 8870456^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3066232146 + ... + 3066261718.

Almost surely, 290678120520036 is an apocalyptic number.

90678120520036 is the 9522506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90678120520036

90678120520036 is an abundant number, since it is smaller than the sum of its proper divisors (102297959101205).

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

90678120520036 is an frugal number, since it uses more digits than its factorization.

90678120520036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59210 (or 29605 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

90678120520036 divided by its sum of digits (49) gives a square (1850573888164 = 13603582).

The spelling of 90678120520036 in words is "ninety trillion, six hundred seventy-eight billion, one hundred twenty million, five hundred twenty thousand, thirty-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 2116 2254 3703 4508 7406 14812 25921 29573 51842 59146 103684 118292 207011 414022 680179 828044 1360358 1449077 2720716 2898154 4761253 5796308 9522506 15644117 19045012 31288234 33328771 62576468 66657542 109508819 133315084 219017638 438035276 766561733 874562329 1533123466 1749124658 3066246932 3498249316 6121936303 12243872606 20114933567 24487745212 40229867134 42853554121 80459734268 85707108242 140804534969 171414216484 281609069938 462643472041 563218139876 925286944082 985631744783 1850573888164 1971263489566 3238504304287 3942526979132 6477008608574 12954017217148 22669530130009 45339060260018 90678120520036