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490741945488 = 243217375418013
BaseRepresentation
bin1110010010000100111…
…11111101010010010000
31201220200122112210222200
413021002133331102100
531020014414223423
61013235503003200
750312020465644
oct7110237752220
91656618483880
10490741945488
1117a139042083
127b138599500
133737a097c02
1419a75836c24
15cb72e80d43
hex72427fd490

490741945488 has 120 divisors (see below), whose sum is σ = 1493486395128. Its totient is φ = 149797195776.

The previous prime is 490741945481. The next prime is 490741945501. The reversal of 490741945488 is 884549147094.

490741945488 is a `hidden beast` number, since 4 + 9 + 0 + 74 + 19 + 4 + 548 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158952121344 + 331789824144 = 398688^2 + 576012^2 .

It is a super-2 number, since 2×4907419454882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490741945481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2618431 + ... + 2799582.

Almost surely, 2490741945488 is an apocalyptic number.

490741945488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490741945488 is an abundant number, since it is smaller than the sum of its proper divisors (1002744449640).

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

490741945488 is a wasteful number, since it uses less digits than its factorization.

490741945488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418081 (or 5418072 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 490741945488 in words is "four hundred ninety billion, seven hundred forty-one million, nine hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7548 10064 11322 15096 22644 30192 45288 90576 5418013 10836026 16254039 21672052 32508078 43344104 48762117 65016156 86688208 92106221 97524234 130032312 184212442 195048468 200466481 260064624 276318663 368424884 390096936 400932962 552637326 601399443 736849768 780193872 801865924 828955989 1105274652 1202798886 1473699536 1603731848 1657911978 1804198329 2210549304 2405597772 3207463696 3315823956 3407930177 3608396658 4421098608 4811195544 6631647912 6815860354 7216793316 9622391088 10223790531 13263295824 13631720708 14433586632 20447581062 27263441416 28867173264 30671371593 40895162124 54526882832 61342743186 81790324248 122685486372 163580648496 245370972744 490741945488