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46334284516 = 221321724872
BaseRepresentation
bin101011001001101111…
…010001001011100100
311102121010010112022201
4223021233101023210
51224343034101031
633141412304244
73230130630412
oct531157211344
9142533115281
1046334284516
111871754a823
128b91312084
1344a5491300
1423579562b2
151312b51d61
hexac9bd12e4

46334284516 has 81 divisors (see below), whose sum is σ = 93462655419. Its totient is φ = 20085781248.

The previous prime is 46334284441. The next prime is 46334284517. The reversal of 46334284516 is 61548243364.

The square root of 46334284516 is 215254.

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

46334284516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 418366116 + 45915918400 = 20454^2 + 214280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46334284517) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95142025 + ... + 95142511.

Almost surely, 246334284516 is an apocalyptic number.

46334284516 is the 215254-th square number.

It is an amenable number.

46334284516 is an abundant number, since it is smaller than the sum of its proper divisors (47128370903).

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

46334284516 is a wasteful number, since it uses less digits than its factorization.

46334284516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 46334284516 in words is "forty-six billion, three hundred thirty-four million, two hundred eighty-four thousand, five hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 487 578 676 884 974 1156 1948 2873 3757 5746 6331 7514 8279 11492 12662 15028 16558 25324 33116 48841 82303 97682 107627 140743 164606 195364 215254 237169 281486 329212 430508 474338 562972 948676 1399151 1829659 2798302 3083197 3659318 4031873 5596604 6166394 7318636 8063746 12332788 16127492 23785567 40081561 47571134 52414349 68541841 80163122 95142268 104828698 137083682 160326244 209657396 274167364 681386537 891043933 1362773074 1782087866 2725546148 3564175732 11583571129 23167142258 46334284516