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90683725320 = 23325251899237
BaseRepresentation
bin101010001110100101…
…0111101011000001000
322200001220102112221100
41110131022331120020
52441210013202240
6105354242541400
76360140642556
oct1243512753010
9280056375840
1090683725320
1135505665041
12156a9967860
138722683a86
144563a3abd6
15255b3d6e30
hex151d2bd608

90683725320 has 48 divisors (see below), whose sum is σ = 294722108460. Its totient is φ = 24182326656.

The previous prime is 90683725313. The next prime is 90683725333. The reversal of 90683725320 is 2352738609.

It can be written as a sum of positive squares in 2 ways, for example, as 73006959204 + 17676766116 = 270198^2 + 132954^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125949259 + ... + 125949978.

Almost surely, 290683725320 is an apocalyptic number.

90683725320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90683725320 is an abundant number, since it is smaller than the sum of its proper divisors (204038383140).

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

90683725320 is a wasteful number, since it uses less digits than its factorization.

90683725320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251899254 (or 251899247 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 90683 and 725320, that added together give a triangular number (816003 = T1277).

The spelling of 90683725320 in words is "ninety billion, six hundred eighty-three million, seven hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 251899237 503798474 755697711 1007596948 1259496185 1511395422 2015193896 2267093133 2518992370 3022790844 3778488555 4534186266 5037984740 6045581688 7556977110 9068372532 10075969480 11335465665 15113954220 18136745064 22670931330 30227908440 45341862660 90683725320