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137443786741485 = 3357251579454823
BaseRepresentation
bin11111010000000100100000…
…000101011101011011101101
3200000122111102211000120102000
4133100010200011131123231
5121003334333401211420
61204152445353322513
740643662110062310
oct3720044005353355
9600574384016360
10137443786741485
113a880645510924
12134b963a106439
135b8cb7cc75a23
1425d2459a44977
1510d5365825690
hex7d012015d6ed

137443786741485 has 64 divisors (see below), whose sum is σ = 280363422044160. Its totient is φ = 62581120776000.

The previous prime is 137443786741453. The next prime is 137443786741487. The reversal of 137443786741485 is 584147687344731.

137443786741485 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 3 + 78 + 6 + 74 + 1 + 485 = 666.

It is not a de Polignac number, because 137443786741485 - 25 = 137443786741453 is a prime.

It is a super-3 number, since 3×1374437867414853 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443786741487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289490217 + ... + 289964606.

It is an arithmetic number, because the mean of its divisors is an integer number (4380678469440).

Almost surely, 2137443786741485 is an apocalyptic number.

137443786741485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137443786741485 is an abundant number, since it is smaller than the sum of its proper divisors (142919635302675).

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

137443786741485 is a wasteful number, since it uses less digits than its factorization.

137443786741485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579455095 (or 579455089 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 137443786741485 in words is "one hundred thirty-seven trillion, four hundred forty-three billion, seven hundred eighty-six million, seven hundred forty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 251 315 753 945 1255 1757 2259 3765 5271 6777 8785 11295 15813 26355 33885 47439 79065 237195 579454823 1738364469 2897274115 4056183761 5215093407 8691822345 12168551283 15645280221 20280918805 26075467035 36505653849 60842756415 78226401105 109516961547 145443160573 182528269245 436329481719 547584807735 727215802865 1018102124011 1308988445157 2181647408595 3054306372033 3926965335471 5090510620055 6544942225785 9162919116099 15271531860165 19634826677355 27488757348297 45814595580495 137443786741485