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3742861314348 = 22331326513100549
BaseRepresentation
bin110110011101110011111…
…010110100100100101100
3111020210222102220001002000
4312131303322310210230
5442310334444024343
611543240255332300
7534261410146542
oct66356372644454
914223872801060
103742861314348
11121337a6aa212
12505484821090
13211c47a968c0
14cd2267cdd92
15675615ceed3
hex36773eb492c

3742861314348 has 96 divisors (see below), whose sum is σ = 10450652184000. Its totient is φ = 1151594744832.

The previous prime is 3742861314341. The next prime is 3742861314397. The reversal of 3742861314348 is 8434131682473.

3742861314348 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 8 + 613 + 14 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3742861314294 and 3742861314303.

It is not an unprimeable number, because it can be changed into a prime (3742861314341) 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, 37173978 + ... + 37274526.

It is an arithmetic number, because the mean of its divisors is an integer number (108860960250).

Almost surely, 23742861314348 is an apocalyptic number.

It is an amenable number.

3742861314348 is an abundant number, since it is smaller than the sum of its proper divisors (6707790869652).

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

3742861314348 is a wasteful number, since it uses less digits than its factorization.

3742861314348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127088 (or 127080 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 3742861314348 in words is "three trillion, seven hundred forty-two billion, eight hundred sixty-one million, three hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 26513 53026 79539 100549 106052 159078 201098 238617 301647 318156 344669 402196 477234 603294 689338 715851 904941 954468 1034007 1206588 1307137 1378676 1431702 1809882 2068014 2614274 2714823 2863404 3102021 3619764 3921411 4136028 5228548 5429646 6204042 7842822 9306063 10859292 11764233 12408084 15685644 18612126 23528466 35292699 37224252 47056932 70585398 141170796 2665855637 5331711274 7997566911 10663422548 15995133822 23992700733 31990267644 34656123281 47985401466 69312246562 71978102199 95970802932 103968369843 138624493124 143956204398 207936739686 287912408796 311905109529 415873479372 623810219058 935715328587 1247620438116 1871430657174 3742861314348