Search a number
-
+
90739150000 = 24554144263
BaseRepresentation
bin101010010000001111…
…0011000110010110000
322200012202201102022021
41110200132120302300
52441313210300000
6105403542521224
76361413022552
oct1244036306260
9280182642267
1090739150000
1135533980464
1215704436214
138730cbb345
14456b1474d2
1525611d411a
hex1520798cb0

90739150000 has 120 divisors (see below), whose sum is σ = 225109529568. Its totient is φ = 35409600000.

The previous prime is 90739149997. The next prime is 90739150031. The reversal of 90739150000 is 5193709.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027869 + ... + 2072131.

Almost surely, 290739150000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90739150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112554764784).

90739150000 is an abundant number, since it is smaller than the sum of its proper divisors (134370379568).

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

90739150000 is an equidigital number, since it uses as much as digits as its factorization.

90739150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44337 (or 44311 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 34.

The spelling of 90739150000 in words is "ninety billion, seven hundred thirty-nine million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3125 3280 4100 5000 5125 6250 8200 10000 10250 12500 16400 20500 25000 25625 41000 44263 50000 51250 82000 88526 102500 128125 177052 205000 221315 256250 354104 410000 442630 512500 708208 885260 1025000 1106575 1770520 1814783 2050000 2213150 3541040 3629566 4426300 5532875 7259132 8852600 9073915 11065750 14518264 17705200 18147830 22131500 27664375 29036528 36295660 44263000 45369575 55328750 72591320 88526000 90739150 110657500 138321875 145182640 181478300 221315000 226847875 276643750 362956600 442630000 453695750 553287500 725913200 907391500 1106575000 1134239375 1814783000 2213150000 2268478750 3629566000 4536957500 5671196875 9073915000 11342393750 18147830000 22684787500 45369575000 90739150000