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137028368484 = 22327277680481
BaseRepresentation
bin111111110011110000…
…1101111100001100100
3111002200202001100122200
41333213201233201210
54221113230242414
6142541105254500
712620455625400
oct1774741574144
9432622040580
10137028368484
1153127a3a427
1222682634430
13cbca030c57
1468bcacc100
15386edd3109
hex1fe786f864

137028368484 has 54 divisors (see below), whose sum is σ = 402928660134. Its totient is φ = 39150961920.

The previous prime is 137028368461. The next prime is 137028368497. The reversal of 137028368484 is 484863820731.

137028368484 is a `hidden beast` number, since 13 + 70 + 2 + 83 + 6 + 8 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135334222884 + 1694145600 = 367878^2 + 41160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137028368484.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38838477 + ... + 38842004.

Almost surely, 2137028368484 is an apocalyptic number.

137028368484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137028368484 is an abundant number, since it is smaller than the sum of its proper divisors (265900291650).

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

137028368484 is a wasteful number, since it uses less digits than its factorization.

137028368484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77680505 (or 77680493 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 137028368484 in words is "one hundred thirty-seven billion, twenty-eight million, three hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 77680481 155360962 233041443 310721924 466082886 543763367 699124329 932165772 1087526734 1398248658 1631290101 2175053468 2796497316 3262580202 3806343569 4893870303 6525160404 7612687138 9787740606 11419030707 15225374276 19575481212 22838061414 34257092121 45676122828 68514184242 137028368484