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1992912947100 = 2232529722828327
BaseRepresentation
bin11101000000000010110…
…111100100011110011100
321001112001112022021001100
4131000002313210132130
5230122441203301400
64123310452513100
7263661145356165
oct35000267443634
97045045267040
101992912947100
116a920a449079
122822a661b790
13115c141cba4a
146c65955276c
1536c90c1a100
hex1d002de479c

1992912947100 has 108 divisors (see below), whose sum is σ = 6311073902224. Its totient is φ = 525964631040.

The previous prime is 1992912947099. The next prime is 1992912947107. The reversal of 1992912947100 is 17492192991.

1992912947100 is a `hidden beast` number, since 199 + 291 + 29 + 47 + 100 = 666.

It is a super-3 number, since 3×19929129471003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992912947107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11326864 + ... + 11501463.

Almost surely, 21992912947100 is an apocalyptic number.

1992912947100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1992912947100 is an abundant number, since it is smaller than the sum of its proper divisors (4318160955124).

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

1992912947100 is a wasteful number, since it uses less digits than its factorization.

1992912947100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22828444 (or 22828434 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 1992912947100 in words is "one trillion, nine hundred ninety-two billion, nine hundred twelve million, nine hundred forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 388 450 485 582 873 900 970 1164 1455 1746 1940 2425 2910 3492 4365 4850 5820 7275 8730 9700 14550 17460 21825 29100 43650 87300 22828327 45656654 68484981 91313308 114141635 136969962 205454943 228283270 273939924 342424905 410909886 456566540 570708175 684849810 821819772 1027274715 1141416350 1369699620 1712124525 2054549430 2214347719 2282832700 3424249050 4109098860 4428695438 5136373575 6643043157 6848498100 8857390876 10272747150 11071738595 13286086314 19929129471 20545494300 22143477190 26572172628 33215215785 39858258942 44286954380 55358692975 66430431570 79716517884 99645647355 110717385950 132860863140 166076078925 199291294710 221434771900 332152157850 398582589420 498228236775 664304315700 996456473550 1992912947100