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401266745226 = 232413674992969
BaseRepresentation
bin1011101011011010101…
…11001001111110001010
31102100201222011200202200
411311231113021332022
523033243241321401
6504201150541030
740663523025534
oct5655527117612
91370658150680
10401266745226
111451a3686886
1265927507776
132babac01a29
14155c8508854
15a687c1a686
hex5d6d5c9f8a

401266745226 has 96 divisors (see below), whose sum is σ = 895134240000. Its totient is φ = 129833141760.

The previous prime is 401266745183. The next prime is 401266745227. The reversal of 401266745226 is 622547662104.

401266745226 is a `hidden beast` number, since 40 + 1 + 26 + 67 + 4 + 522 + 6 = 666.

It is a super-2 number, since 2×4012667452262 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401266745227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135150670 + ... + 135153638.

It is an arithmetic number, because the mean of its divisors is an integer number (9324315000).

Almost surely, 2401266745226 is an apocalyptic number.

401266745226 is an abundant number, since it is smaller than the sum of its proper divisors (493867494774).

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

401266745226 is a wasteful number, since it uses less digits than its factorization.

401266745226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 401266745226 in words is "four hundred one billion, two hundred sixty-six million, seven hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 367 369 499 734 738 998 1101 1497 2202 2969 2994 3303 4491 5938 6606 8907 8982 15047 17814 20459 26721 30094 40918 45141 53442 61377 90282 121729 122754 135423 183133 184131 243458 270846 365187 366266 368262 549399 730374 1089623 1095561 1098798 1481531 1648197 2179246 2191122 2963062 3268869 3296394 4444593 6537738 7508453 8889186 9806607 13333779 15016906 19613214 22525359 26667558 44674543 45050718 60742771 67576077 89349086 121485542 134023629 135152154 182228313 268047258 364456626 402070887 543721877 546684939 804141774 1087443754 1093369878 1631165631 3262331262 4893496893 9786993786 22292596957 44585193914 66877790871 133755581742 200633372613 401266745226