Search a number
-
+
90626058931984 = 24292820672
BaseRepresentation
bin10100100110110010000110…
…000011001100111100010000
3102212212202200212102020100121
4110212302012003030330100
543334304132041310414
6520425011533200024
725042342136553412
oct2446620603147420
9385782625366317
1090626058931984
1126970328717a84
12a1b7b2b930014
133b75001683404
141854478bdc9b2
15a725d233e724
hex526c860ccf10

90626058931984 has 45 divisors (see below), whose sum is σ = 181853748113557. Its totient is φ = 43749978101312.

The previous prime is 90626058931979. The next prime is 90626058931999. The reversal of 90626058931984 is 48913985062609.

The square root of 90626058931984 is 9519772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47522107002384 + 43103951929600 = 6893628^2 + 6565360^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1104252519 + ... + 1104334585.

Almost surely, 290626058931984 is an apocalyptic number.

90626058931984 is the 9519772-nd square number.

It is an amenable number.

90626058931984 is an abundant number, since it is smaller than the sum of its proper divisors (91227689181573).

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

90626058931984 is an frugal number, since it uses more digits than its factorization.

90626058931984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164200 (or 82098 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 70.

The spelling of 90626058931984 in words is "ninety trillion, six hundred twenty-six billion, fifty-eight million, nine hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 82067 164134 328268 656536 1313072 2379943 4759886 9519772 19039544 38079088 69018347 138036694 276073388 552146776 1104293552 6734992489 13469984978 26939969956 53879939912 107759879824 195314782181 390629564362 781259128724 1562518257448 3125036514896 5664128683249 11328257366498 22656514732996 45313029465992 90626058931984