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9048761869456 = 2417231214272
BaseRepresentation
bin1000001110101101010000…
…1111001010010010010000
31012001001102202212110011101
42003223110033022102100
52141223331014310311
631124535510354144
71622515516552051
oct203532417122220
935031382773141
109048761869456
1129796161a13a1
12102186405b954
135083aa27759a
14233d68bdc728
1510a5a4502ec1
hex83ad43ca490

9048761869456 has 135 divisors (see below), whose sum is σ = 19257580035417. Its totient is φ = 4117990479360.

The previous prime is 9048761869429. The next prime is 9048761869463. The reversal of 9048761869456 is 6549681678409.

The square root of 9048761869456 is 3008116.

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., 7044883808400 + 2003878061056 = 2654220^2 + 1415584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6341107815 + ... + 6341109241.

Almost surely, 29048761869456 is an apocalyptic number.

9048761869456 is the 3008116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9048761869456

9048761869456 is an abundant number, since it is smaller than the sum of its proper divisors (10208818165961).

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

9048761869456 is an equidigital number, since it uses as much as digits as its factorization.

9048761869456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 73.

The spelling of 9048761869456 in words is "nine trillion, forty-eight billion, seven hundred sixty-one million, eight hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 289 496 527 578 961 1054 1156 1427 1922 2108 2312 2854 3844 4216 4624 5708 7688 8432 8959 11416 15376 16337 17918 22832 24259 32674 35836 44237 48518 65348 71672 88474 97036 130696 143344 176948 194072 261392 277729 353896 388144 412403 555458 707792 752029 824806 1110916 1371347 1504058 1649612 2036329 2221832 2742694 3008116 3299224 4072658 4443664 5485388 6016232 6598448 8145316 10970776 12032464 12784493 16290632 21941552 23312899 25568986 32581264 34617593 46625798 51137972 63126199 69235186 93251596 102275944 126252398 138470372 186503192 204551888 252504796 276940744 373006384 396319283 505009592 553881488 588499081 792638566 1010019184 1073145383 1176998162 1585277132 1956912169 2146290766 2353996324 3170554264 3913824338 4292581532 4707992648 6341108528 7827648676 8585163064 9415985296 15655297352 17170326128 18243471511 31310594704 33267506873 36486943022 66535013746 72973886044 133070027492 145947772088 266140054984 291895544176 532280109968 565547616841 1131095233682 2262190467364 4524380934728 9048761869456