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2107364468120 = 2352914699123593
BaseRepresentation
bin11110101010101000101…
…101011110010110011000
321110110110212000221021022
4132222220231132112120
5234011340300434440
64252035422102012
7305152312266062
oct36525055362630
97413425027238
102107364468120
1174280133787a
122a050811a908
13123953a2a452
1473dd5a22732
1539c3da26cb5
hex1eaa8b5e598

2107364468120 has 64 divisors (see below), whose sum is σ = 4905445860000. Its totient is φ = 813816736768.

The previous prime is 2107364468113. The next prime is 2107364468123. The reversal of 2107364468120 is 218644637012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107364468123) 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, 16989044 + ... + 17112636.

Almost surely, 22107364468120 is an apocalyptic number.

2107364468120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107364468120 is an abundant number, since it is smaller than the sum of its proper divisors (2798081391880).

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

2107364468120 is a wasteful number, since it uses less digits than its factorization.

2107364468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138332 (or 138328 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 2107364468120 in words is "two trillion, one hundred seven billion, three hundred sixty-four million, four hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 14699 29398 58796 73495 117592 123593 146990 247186 293980 426271 494372 587960 617965 852542 988744 1235930 1705084 2131355 2471860 3410168 3584197 4262710 4943720 7168394 8525420 14336788 17050840 17920985 28673576 35841970 71683940 143367880 1816693507 3633387014 7266774028 9083467535 14533548056 18166935070 36333870140 52684111703 72667740280 105368223406 210736446812 263420558515 421472893624 526841117030 1053682234060 2107364468120