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1929818294041 = 11247226872
BaseRepresentation
bin11100000101010010001…
…000100100011100011001
320211111012100120210101011
4130011102020210130121
5223104231440402131
64034313555253521
7256265460563311
oct34052210443431
96744170523334
101929818294041
11684482131400
122720182aa2a1
1310cc9a599501
1469591a98441
15352eb9780b1
hex1c152224719

1929818294041 has 27 divisors (see below), whose sum is σ = 2168104400917. Its totient is φ = 1716414005240.

The previous prime is 1929818294003. The next prime is 1929818294101. The reversal of 1929818294041 is 1404928189291.

The square root of 1929818294041 is 1389179.

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

It is not a de Polignac number, because 1929818294041 - 217 = 1929818162969 is a prime.

It is a super-2 number, since 2×19298182940412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1929818298041) 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, 718204200 + ... + 718206886.

Almost surely, 21929818294041 is an apocalyptic number.

1929818294041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1929818294041 is the 1389179-th square number.

1929818294041 is the 694590-th centered octagonal number.

It is an amenable number.

1929818294041 is a deficient number, since it is larger than the sum of its proper divisors (238286106876).

1929818294041 is an frugal number, since it uses more digits than its factorization.

1929818294041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 58.

The spelling of 1929818294041 in words is "one trillion, nine hundred twenty-nine billion, eight hundred eighteen million, two hundred ninety-four thousand, forty-one".

Divisors: 1 11 47 121 517 2209 2687 5687 24299 29557 126289 267289 325127 1389179 5935583 7219969 15280969 65291413 79419659 339338543 718205543 873616249 3732723973 15948911521 41059963703 175438026731 1929818294041