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90615397100944 = 24372643192
BaseRepresentation
bin10100100110101000001010…
…100011100010110110010000
3102212211202011211022002201111
4110212220022203202312100
543334120313124212234
6520420045545143104
725041514004521042
oct2446501243426620
9385752154262644
1090615397100944
1126966857363571
12a1b5a5518aa94
133b73cc282bb51
141853b46bd9a92
15a721ab2ed664
hex526a0a8e2d90

90615397100944 has 45 divisors (see below), whose sum is σ = 180443445298977. Its totient is φ = 44082480773952.

The previous prime is 90615397100941. The next prime is 90615397100951. The reversal of 90615397100944 is 44900179351609.

The square root of 90615397100944 is 9519212.

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., 81083901715600 + 9531495385344 = 9004660^2 + 3087312^2 .

It is a super-2 number, since 2×906153971009442 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90615397100941) 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 8 ways as a sum of consecutive naturals, for example, 1408811217 + ... + 1408875535.

Almost surely, 290615397100944 is an apocalyptic number.

90615397100944 is the 9519212-nd square number.

It is an amenable number.

90615397100944 is a deficient number, since it is larger than the sum of its proper divisors (89828048198033).

90615397100944 is an frugal number, since it uses more digits than its factorization.

90615397100944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128720 (or 64358 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 90615397100944 in words is "ninety trillion, six hundred fifteen billion, three hundred ninety-seven million, one hundred thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 64319 128638 257276 514552 1029104 2379803 4759606 9519212 19038424 38076848 88052711 176105422 352210844 704421688 1408843376 4136933761 8273867522 16547735044 33095470088 66190940176 153066549157 306133098314 612266196628 1224532393256 2449064786512 5663462318809 11326924637618 22653849275236 45307698550472 90615397100944