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137284214323812 = 22323679776535863
BaseRepresentation
bin11111001101101111111000…
…110100111111101001100100
3200000002020112221100212002120
4133031233320310333221210
5120443231032331330222
61203551255234505540
740626312544646643
oct3715577064775144
9600066487325076
10137284214323812
113a8199a9aa2696
12134927257352b0
135b7aacc4870ca
1425c883cc3535a
1510d112669915c
hex7cdbf8d3fa64

137284214323812 has 96 divisors (see below), whose sum is σ = 342743518451712. Its totient is φ = 42673947503616.

The previous prime is 137284214323807. The next prime is 137284214323813. The reversal of 137284214323812 is 218323412482731.

It is a super-2 number, since 2×1372842143238122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137284214323813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36474208 + ... + 40061655.

It is an arithmetic number, because the mean of its divisors is an integer number (3570244983872).

Almost surely, 2137284214323812 is an apocalyptic number.

137284214323812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137284214323812 is an abundant number, since it is smaller than the sum of its proper divisors (205459304127900).

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

137284214323812 is a wasteful number, since it uses less digits than its factorization.

137284214323812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76536057 (or 76536055 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 137284214323812 in words is "one hundred thirty-seven trillion, two hundred eighty-four billion, two hundred fourteen million, three hundred twenty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 97 134 138 194 201 268 276 291 388 402 582 804 1164 1541 2231 3082 4462 4623 6164 6499 6693 8924 9246 12998 13386 18492 19497 25996 26772 38994 77988 149477 298954 448431 597908 896862 1793724 76535863 153071726 229607589 306143452 459215178 918430356 1760324849 3520649698 5127902821 5280974547 7041299396 7423978711 10255805642 10561949094 14847957422 15383708463 20511611284 21123898188 22271936133 29695914844 30767416926 44543872266 61534833852 89087744532 117941764883 170751510353 235883529766 341503020706 353825294649 471767059532 497406573637 512254531059 683006041412 707650589298 994813147274 1024509062118 1415301178596 1492219720911 1989626294548 2049018124236 2984439441822 5968878883644 11440351193651 22880702387302 34321053580953 45761404774604 68642107161906 137284214323812