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137608068510 = 23351171652573
BaseRepresentation
bin1000000000101000010…
…1000111110110011110
3111011012010212011121000
42000022011013312132
54223310131143020
6143114414251130
712641025166053
oct2001205076636
9434163764530
10137608068510
11533a5192660
12228047b6aa6
13cc9016ca13
146935aad02a
1538a5c41090
hex200a147d9e

137608068510 has 128 divisors (see below), whose sum is σ = 405953233920. Its totient is φ = 32889628800.

The previous prime is 137608068509. The next prime is 137608068583. The reversal of 137608068510 is 15860806731.

137608068510 is a `hidden beast` number, since 1 + 3 + 76 + 0 + 8 + 0 + 68 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115417 + ... + 537156.

It is an arithmetic number, because the mean of its divisors is an integer number (3171509640).

Almost surely, 2137608068510 is an apocalyptic number.

137608068510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137608068510 is an abundant number, since it is smaller than the sum of its proper divisors (268345165410).

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

137608068510 is a wasteful number, since it uses less digits than its factorization.

137608068510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652671 (or 652665 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 137608068510 in words is "one hundred thirty-seven billion, six hundred eight million, sixty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 90 99 110 135 142 165 198 213 270 297 330 355 426 495 594 639 710 781 990 1065 1278 1485 1562 1917 2130 2343 2970 3195 3834 3905 4686 6390 7029 7810 9585 11715 14058 19170 21087 23430 35145 42174 70290 105435 210870 652573 1305146 1957719 3262865 3915438 5873157 6525730 7178303 9788595 11746314 14356606 17619471 19577190 21534909 29365785 35238942 35891515 43069818 46332683 58731570 64604727 71783030 88097355 92665366 107674545 129209454 138998049 176194710 193814181 215349090 231663415 277996098 323023635 387628362 416994147 463326830 509659513 646047270 694990245 833988294 969070905 1019319026 1250982441 1389980490 1528978539 1938141810 2084970735 2501964882 2548297565 3057957078 4169941470 4586935617 5096595130 6254912205 7644892695 9173871234 12509824410 13760806851 15289785390 22934678085 27521613702 45869356170 68804034255 137608068510