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90343296720 = 24325125476801
BaseRepresentation
bin101010000100011100…
…0010100111011010000
322122012011211222200200
41110020320110323100
52440010340443340
6105300402215200
76345535231425
oct1241070247320
9278164758620
1090343296720
1135350487a96
1215613954500
138699c9c331
144530741d4c
15253b58e330
hex1508e14ed0

90343296720 has 60 divisors (see below), whose sum is σ = 303402907236. Its totient is φ = 24091545600.

The previous prime is 90343296709. The next prime is 90343296733. The reversal of 90343296720 is 2769234309.

It can be written as a sum of positive squares in 2 ways, for example, as 71494203456 + 18849093264 = 267384^2 + 137292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×903432967202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62737681 + ... + 62739120.

Almost surely, 290343296720 is an apocalyptic number.

90343296720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90343296720 is an abundant number, since it is smaller than the sum of its proper divisors (213059610516).

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

90343296720 is a wasteful number, since it uses less digits than its factorization.

90343296720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125476820 (or 125476811 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 90343296720 in words is "ninety billion, three hundred forty-three million, two hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 125476801 250953602 376430403 501907204 627384005 752860806 1003814408 1129291209 1254768010 1505721612 1882152015 2007628816 2258582418 2509536020 3011443224 3764304030 4517164836 5019072040 5646456045 6022886448 7528608060 9034329672 10038144080 11292912090 15057216120 18068659344 22585824180 30114432240 45171648360 90343296720