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928426675401 = 3612722812
BaseRepresentation
bin11011000001010101000…
…10101100110011001001
310021202102122120211000000
431200222202230303021
5110202404212103101
61550302513433213
7124035164350131
oct15405242546311
93252378524000
10928426675401
1132881a721865
1212bb2826b809
136971cbc80b4
1432d168c1ac1
151923ce75486
hexd82a8accc9

928426675401 has 63 divisors (see below), whose sum is σ = 1408061021943. Its totient is φ = 611892156960.

The previous prime is 928426675217. The next prime is 928426675409. The reversal of 928426675401 is 104576624829.

The square root of 928426675401 is 963549.

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

928426675401 is a `hidden beast` number, since 92 + 8 + 4 + 2 + 6 + 6 + 7 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 627420825801 + 301005849600 = 792099^2 + 548640^2 .

It is not a de Polignac number, because 928426675401 - 219 = 928426151113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (928426675409) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3304009381 + ... + 3304009661.

Almost surely, 2928426675401 is an apocalyptic number.

928426675401 is the 963549-th square number.

928426675401 is the 481775-th centered octagonal number.

It is an amenable number.

928426675401 is a deficient number, since it is larger than the sum of its proper divisors (479634346542).

928426675401 is an frugal number, since it uses more digits than its factorization.

928426675401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 928426675401 in words is "nine hundred twenty-eight billion, four hundred twenty-six million, six hundred seventy-five thousand, four hundred one".

Divisors: 1 3 9 27 81 127 243 281 381 729 843 1143 2529 3429 7587 10287 16129 22761 30861 35687 48387 68283 78961 92583 107061 145161 204849 236883 321183 435483 710649 963549 1306449 2131947 2890647 3919347 4532249 6395841 8671941 10028047 11758041 13596747 19187523 26015823 30084141 40790241 57562569 90252423 122370723 270757269 367112169 812271807 1101336507 1273561969 2436815421 3304009521 3820685907 7310446263 11462057721 34386173163 103158519489 309475558467 928426675401