Search a number
-
+
90688227426 = 2354116727253
BaseRepresentation
bin101010001110101110…
…0001000100001100010
322200002012220021200000
41110131130020201202
52441212141234201
6105354523240430
76360224133336
oct1243534104142
9280065807600
1090688227426
113550815a595
12156ab379116
13872359c044
14456448d7c6
15255b9c5d86
hex151d708862

90688227426 has 96 divisors (see below), whose sum is σ = 209996212608. Its totient is φ = 29314431360.

The previous prime is 90688227403. The next prime is 90688227431. The reversal of 90688227426 is 62472288609.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3314016 + ... + 3341268.

It is an arithmetic number, because the mean of its divisors is an integer number (2187460548).

Almost surely, 290688227426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90688227426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104998106304).

90688227426 is an abundant number, since it is smaller than the sum of its proper divisors (119307985182).

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

90688227426 is a wasteful number, since it uses less digits than its factorization.

90688227426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27478 (or 27466 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 90688227426 in words is "ninety billion, six hundred eighty-eight million, two hundred twenty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 167 243 246 334 369 486 501 738 1002 1107 1503 2214 3006 3321 4509 6642 6847 9018 9963 13527 13694 19926 20541 27054 27253 40581 41082 54506 61623 81162 81759 123246 163518 184869 245277 369738 490554 554607 735831 1109214 1117373 1471662 1663821 2207493 2234746 3327642 3352119 4414986 4551251 6622479 6704238 9102502 10056357 13244958 13653753 20112714 27307506 30169071 40961259 60338142 81922518 90507213 122883777 181014426 186601291 245767554 271521639 368651331 373202582 543043278 559803873 737302662 1105953993 1119607746 1679411619 2211907986 3358823238 5038234857 10076469714 15114704571 30229409142 45344113713 90688227426