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20137240252314 = 2324725194832209
BaseRepresentation
bin1001001010000100100010…
…00011010100111110011010
32122022002201220012200021200
410211002101003110332122
510114412032001033224
6110454530453015030
74145603404641363
oct445022103247632
978262656180250
1020137240252314
116464179166969
122312895024476
13b30c1a1a0123
144d890d142b6a
1524dc3866e5c9
hex1250910d4f9a

20137240252314 has 48 divisors (see below), whose sum is σ = 44736526074240. Its totient is φ = 6543422352000.

The previous prime is 20137240252291. The next prime is 20137240252331. The reversal of 20137240252314 is 41325204273102.

20137240252314 is a `hidden beast` number, since 2 + 0 + 1 + 372 + 4 + 0 + 252 + 31 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47203759 + ... + 47628450.

It is an arithmetic number, because the mean of its divisors is an integer number (932010959880).

Almost surely, 220137240252314 is an apocalyptic number.

20137240252314 is an abundant number, since it is smaller than the sum of its proper divisors (24599285821926).

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

20137240252314 is a wasteful number, since it uses less digits than its factorization.

20137240252314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94832515 (or 94832512 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20137240252314 in words is "twenty trillion, one hundred thirty-seven billion, two hundred forty million, two hundred fifty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 251 282 423 502 753 846 1506 2259 4518 11797 23594 35391 70782 106173 212346 94832209 189664418 284496627 568993254 853489881 1706979762 4457113823 8914227646 13371341469 23802884459 26742682938 40114024407 47605768918 71408653377 80228048814 142817306754 214225960131 428451920262 1118735569573 2237471139146 3356206708719 6712413417438 10068620126157 20137240252314