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2137205713142 = 217219760725583
BaseRepresentation
bin11111000110011011011…
…000110010100011110110
321120022111112121020202102
4133012123120302203312
5240003444130310032
64313452503342102
7310256643552323
oct37063330624366
97508445536672
102137205713142
117544249a9945
122a6255a51932
131266cb249696
1475626d43b4a
153a8d8742362
hex1f19b6328f6

2137205713142 has 48 divisors (see below), whose sum is σ = 3585325386240. Its totient is φ = 952647484032.

The previous prime is 2137205713117. The next prime is 2137205713157. The reversal of 2137205713142 is 2413175027312.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2137205713096 and 2137205713105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83527283 + ... + 83552865.

It is an arithmetic number, because the mean of its divisors is an integer number (74694278880).

Almost surely, 22137205713142 is an apocalyptic number.

2137205713142 is a deficient number, since it is larger than the sum of its proper divisors (1448119673098).

2137205713142 is a wasteful number, since it uses less digits than its factorization.

2137205713142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33245 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 2137205713142 in words is "two trillion, one hundred thirty-seven billion, two hundred five million, seven hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 17 19 34 38 289 323 578 646 5491 7607 10982 15214 25583 51166 129319 144533 258638 289066 434911 486077 869822 972154 2198423 2457061 4396846 4914122 7393487 8263309 14786974 16526618 41770037 83540074 140476253 194609881 280952506 389219762 3308367977 3697587739 6616735954 7395175478 56242255609 62858991563 112484511218 125717983126 1068602856571 2137205713142