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46045732901728 = 2571311569170287
BaseRepresentation
bin10100111100000110110111…
…00011011001001101100000
320001000221002021222200102211
422132003123203121031200
522013403130110323403
6241533041230051504
712461460120600010
oct1236033343311540
9201027067880384
1046045732901728
11137429818a447a
1251b7b7a949b94
131c9012b627751
14b528a7dd7c40
1554cb4db1406d
hex29e0db8d9360

46045732901728 has 48 divisors (see below), whose sum is σ = 104393760920064. Its totient is φ = 19583245169280.

The previous prime is 46045732901719. The next prime is 46045732901731. The reversal of 46045732901728 is 82710923754064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784555800 + ... + 784614487.

It is an arithmetic number, because the mean of its divisors is an integer number (2174870019168).

It is a 1-persistent number, because it is pandigital, but 2⋅46045732901728 = 92091465803456 is not.

Almost surely, 246045732901728 is an apocalyptic number.

It is an amenable number.

46045732901728 is an abundant number, since it is smaller than the sum of its proper divisors (58348028018336).

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

46045732901728 is a wasteful number, since it uses less digits than its factorization.

46045732901728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569170435 (or 1569170427 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 46045732901728 in words is "forty-six trillion, forty-five billion, seven hundred thirty-two million, nine hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 29344 1569170287 3138340574 6276681148 10984192009 12553362296 21968384018 25106724592 43936768036 50213449184 87873536072 175747072144 205561307597 351494144288 411122615194 822245230388 1438929153179 1644490460776 2877858306358 3288980921552 5755716612716 6577961843104 11511433225432 23022866450864 46045732901728