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146763805727441 = 7121744089390751
BaseRepresentation
bin100001010111101100011100…
…100000011001101011010001
3201020122111000222000021120202
4201113230130200121223101
5123214034233231234231
61240050210033344545
742625222631253620
oct4127543440315321
9636574028007522
10146763805727441
11428441a9232741
1214563985708155
1363b79c9258926
1428355984976b7
1511e79e3e2c5cb
hex857b1c819ad1

146763805727441 has 16 divisors (see below), whose sum is σ = 167872123345920. Its totient is φ = 125691008256000.

The previous prime is 146763805727393. The next prime is 146763805727449. The reversal of 146763805727441 is 144727508367641.

It is a cyclic number.

It is not a de Polignac number, because 146763805727441 - 234 = 146746625858257 is a prime.

It is a super-2 number, since 2×1467638057274412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146763805727449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375398816 + ... + 375789566.

It is an arithmetic number, because the mean of its divisors is an integer number (10492007709120).

Almost surely, 2146763805727441 is an apocalyptic number.

It is an amenable number.

146763805727441 is a deficient number, since it is larger than the sum of its proper divisors (21108317618479).

146763805727441 is a wasteful number, since it uses less digits than its factorization.

146763805727441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436064.

The product of its (nonzero) digits is 189665280, while the sum is 65.

The spelling of 146763805727441 in words is "one hundred forty-six trillion, seven hundred sixty-three billion, eight hundred five million, seven hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 7 1217 8519 44089 308623 390751 2735257 53656313 375594191 475543967 3328807769 17227820839 120594745873 20966257961063 146763805727441